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1424402000 = 24537711433
BaseRepresentation
bin101010011100110…
…1010011001010000
310200021021010012122
41110321222121100
510404121331000
6353201513412
750204134340
oct12471523120
93607233178
101424402000
1167104633a
12339042868
13199143728
14d7264d20
15850b5085
hex54e6a650

1424402000 has 160 divisors (see below), whose sum is σ = 3994458624. Its totient is φ = 481152000.

The previous prime is 1424401997. The next prime is 1424402003. The reversal of 1424402000 is 2044241.

It is an interprime number because it is at equal distance from previous prime (1424401997) and next prime (1424402003).

It is a self number, because there is not a number n which added to its sum of digits gives 1424402000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424402003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993284 + ... + 994716.

Almost surely, 21424402000 is an apocalyptic number.

1424402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997229312).

1424402000 is an abundant number, since it is smaller than the sum of its proper divisors (2570056624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1424402000 is a wasteful number, since it uses less digits than its factorization.

1424402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1424402000 is about 37741.2506417050. The cubic root of 1424402000 is about 1125.1511237312.

Adding to 1424402000 its reverse (2044241), we get a palindrome (1426446241).

The spelling of 1424402000 in words is "one billion, four hundred twenty-four million, four hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 175 200 250 280 284 350 355 400 497 500 560 568 700 710 875 994 1000 1136 1400 1420 1433 1750 1775 1988 2000 2485 2800 2840 2866 3500 3550 3976 4970 5680 5732 7000 7100 7165 7952 8875 9940 10031 11464 12425 14000 14200 14330 17750 19880 20062 22928 24850 28400 28660 35500 35825 39760 40124 49700 50155 57320 62125 71000 71650 80248 99400 100310 101743 114640 124250 142000 143300 160496 179125 198800 200620 203486 248500 250775 286600 358250 401240 406972 497000 501550 508715 573200 712201 716500 802480 813944 994000 1003100 1017430 1253875 1424402 1433000 1627888 2006200 2034860 2507750 2543575 2848804 2866000 3561005 4012400 4069720 5015500 5087150 5697608 7122010 8139440 10031000 10174300 11395216 12717875 14244020 17805025 20062000 20348600 25435750 28488040 35610050 40697200 50871500 56976080 71220100 89025125 101743000 142440200 178050250 203486000 284880400 356100500 712201000 1424402000