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2590420392 = 233373494909
BaseRepresentation
bin1001101001100110…
…1010110110101000
320200112022222202000
42122121222312220
520301121423032
61105013411000
7121123132020
oct23231526650
96615288660
102590420392
11110a2521aa
12603639a60
1332389a841
141a806aa80
1510263be7c
hex9a66ada8

2590420392 has 128 divisors (see below), whose sum is σ = 8248800000. Its totient is φ = 737849088.

The previous prime is 2590420387. The next prime is 2590420433. The reversal of 2590420392 is 2930240952.

2590420392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525234 + ... + 530142.

It is an arithmetic number, because the mean of its divisors is an integer number (64443750).

Almost surely, 22590420392 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 2590420392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124400000).

2590420392 is an abundant number, since it is smaller than the sum of its proper divisors (5658379608).

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

2590420392 is a wasteful number, since it uses less digits than its factorization.

2590420392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2590420392 is about 50896.1726655355. The cubic root of 2590420392 is about 1373.3779911851.

The spelling of 2590420392 in words is "two billion, five hundred ninety million, four hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 349 378 504 698 756 1047 1396 1512 2094 2443 2792 3141 4188 4886 4909 6282 7329 8376 9423 9772 9818 12564 14658 14727 18846 19544 19636 21987 25128 29316 29454 34363 37692 39272 43974 44181 58632 58908 65961 68726 75384 87948 88362 103089 117816 131922 132543 137452 175896 176724 206178 263844 265086 274904 309267 353448 412356 527688 530172 618534 824712 927801 1060344 1237068 1713241 1855602 2474136 3426482 3711204 5139723 6852964 7422408 10279446 11992687 13705928 15419169 20558892 23985374 30838338 35978061 41117784 46257507 47970748 61676676 71956122 92515014 95941496 107934183 123353352 143912244 185030028 215868366 287824488 323802549 370060056 431736732 647605098 863473464 1295210196 2590420392