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1030005872 = 2472232392
BaseRepresentation
bin111101011001001…
…010010001110000
32122210010201102122
4331121022101300
54102140141442
6250112333412
734344622400
oct7531122160
92583121378
101030005872
11489458725
12248b44268
13135514a3c
149ab1c800
156065bdd2
hex3d64a470

1030005872 has 90 divisors (see below), whose sum is σ = 2432565288. Its totient is φ = 420471744.

The previous prime is 1030005863. The next prime is 1030005913. The reversal of 1030005872 is 2785000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4309529 + ... + 4309767.

Almost surely, 21030005872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030005872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216282644).

1030005872 is an abundant number, since it is smaller than the sum of its proper divisors (1402559416).

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

1030005872 is an equidigital number, since it uses as much as digits as its factorization.

1030005872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1030005872 is about 32093.7045540087. The cubic root of 1030005872 is about 1009.9035531862.

The spelling of 1030005872 in words is "one billion, thirty million, five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 239 322 368 392 478 644 784 956 1127 1288 1673 1912 2254 2576 3346 3824 4508 5497 6692 9016 10994 11711 13384 18032 21988 23422 26768 38479 43976 46844 57121 76958 87952 93688 114242 153916 187376 228484 269353 307832 399847 456968 538706 615664 799694 913936 1077412 1313783 1599388 2154824 2627566 2798929 3198776 4309648 5255132 5597858 6397552 9196481 10510264 11195716 18392962 21020528 22391432 36785924 44782864 64375367 73571848 128750734 147143696 257501468 515002936 1030005872