Search a number
-
+
1030402240 = 2657617541
BaseRepresentation
bin111101011010101…
…011000011000000
32122210212212010221
4331122223003000
54102240332430
6250125032424
734351163110
oct7532530300
92583785127
101030402240
114896a94aa
122490b5714
1313562328a
149abc3040
15606d957a
hex3d6ab0c0

1030402240 has 112 divisors (see below), whose sum is σ = 2850513984. Its totient is φ = 347443200.

The previous prime is 1030402237. The next prime is 1030402267. The reversal of 1030402240 is 422040301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132870 + ... + 140410.

Almost surely, 21030402240 is an apocalyptic number.

1030402240 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 1030402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425256992).

1030402240 is an abundant number, since it is smaller than the sum of its proper divisors (1820111744).

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

1030402240 is an equidigital number, since it uses as much as digits as its factorization.

1030402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1030402240 is about 32099.8791274983. The cubic root of 1030402240 is about 1010.0330806405.

Adding to 1030402240 its reverse (422040301), we get a palindrome (1452442541).

The spelling of 1030402240 in words is "one billion, thirty million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 427 448 488 560 610 854 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4880 6832 7541 8540 9760 13664 15082 17080 19520 27328 30164 34160 37705 52787 60328 68320 75410 105574 120656 136640 150820 211148 241312 263935 301640 422296 460001 482624 527870 603280 844592 920002 1055740 1206560 1689184 1840004 2111480 2300005 2413120 3220007 3378368 3680008 4222960 4600010 6440014 7360016 8445920 9200020 12880028 14720032 16100035 16891840 18400040 25760056 29440064 32200070 36800080 51520112 64400140 73600160 103040224 128800280 147200320 206080448 257600560 515201120 1030402240