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1400152000 = 26531313463
BaseRepresentation
bin101001101110100…
…1001111111000000
310121120122002110111
41103131021333000
510331414331000
6350534041104
746461044542
oct12335117700
93546562414
101400152000
11659392a15
12330aa9194
13194102a10
14d3d51692
1582dc4cba
hex53749fc0

1400152000 has 112 divisors (see below), whose sum is σ = 3734482752. Its totient is φ = 516940800.

The previous prime is 1400151989. The next prime is 1400152001. The reversal of 1400152000 is 2510041.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97269 + ... + 110731.

It is an arithmetic number, because the mean of its divisors is an integer number (33343596).

Almost surely, 21400152000 is an apocalyptic number.

1400152000 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 1400152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867241376).

1400152000 is an abundant number, since it is smaller than the sum of its proper divisors (2334330752).

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

1400152000 is a wasteful number, since it uses less digits than its factorization.

1400152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13503 (or 13483 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1400152000 is about 37418.6049980488. The cubic root of 1400152000 is about 1118.7294265018.

Adding to 1400152000 its reverse (2510041), we get a palindrome (1402662041).

The spelling of 1400152000 in words is "one billion, four hundred million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 13463 20800 26000 26926 52000 53852 67315 104000 107704 134630 175019 215408 269260 336575 350038 430816 538520 673150 700076 861632 875095 1077040 1346300 1400152 1682875 1750190 2154080 2692600 2800304 3365750 3500380 4308160 4375475 5385200 5600608 6731500 7000760 8750950 10770400 11201216 13463000 14001520 17501900 21540800 21877375 26926000 28003040 35003800 43754750 53852000 56006080 70007600 87509500 107704000 140015200 175019000 280030400 350038000 700076000 1400152000