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874139904 = 28331111497
BaseRepresentation
bin110100000110100…
…101000100000000
32020220211220112000
4310012211010000
53242234434104
6222423504000
730443031561
oct6406450400
92226756460
10874139904
1140947a280
122048b8000
1310c140b61
1484148168
1551b1e639
hex341a5100

874139904 has 144 divisors (see below), whose sum is σ = 2820229440. Its totient is φ = 264867840.

The previous prime is 874139869. The next prime is 874139923. The reversal of 874139904 is 409931478.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 874139904.

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, 70284 + ... + 81780.

Almost surely, 2874139904 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 874139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410114720).

874139904 is an abundant number, since it is smaller than the sum of its proper divisors (1946089536).

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

874139904 is a wasteful number, since it uses less digits than its factorization.

874139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 874139904 is about 29565.8570652028. The cubic root of 874139904 is about 956.1520973202.

The spelling of 874139904 in words is "eight hundred seventy-four million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 11497 12672 19008 22994 25344 34491 38016 45988 68982 76032 91976 103473 126467 137964 183952 206946 252934 275928 310419 367904 379401 413892 505868 551856 620838 735808 758802 827784 1011736 1103712 1138203 1241676 1471616 1517604 1655568 2023472 2207424 2276406 2483352 2943232 3035208 3311136 3414609 4046944 4414848 4552812 4966704 6070416 6622272 6829218 8093888 8829696 9105624 9933408 12140832 13244544 13658436 16187776 18211248 19866816 24281664 26489088 27316872 32375552 36422496 39733632 48563328 54633744 72844992 79467264 97126656 109267488 145689984 218534976 291379968 437069952 874139904