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10139904 = 2835163
BaseRepresentation
bin100110101011…
…100100000000
3201002011100000
4212223210000
510043434104
61001200000
7152121255
oct46534400
921064300
1010139904
1157a6295
123490000
132140458
1414bd42c
15d54639
hex9ab900

10139904 has 108 divisors (see below), whose sum is σ = 30504656. Its totient is φ = 3359232.

The previous prime is 10139881. The next prime is 10139923. The reversal of 10139904 is 40993101.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62127 + ... + 62289.

Almost surely, 210139904 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 10139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252328).

10139904 is an abundant number, since it is smaller than the sum of its proper divisors (20364752).

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

10139904 is an frugal number, since it uses more digits than its factorization.

10139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10139904 is about 3184.3215917994. The cubic root of 10139904 is about 216.4435330730.

It can be divided in two parts, 101 and 39904, that multiplied together give a palindrome (4030304).

The spelling of 10139904 in words is "ten million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 163 192 216 243 256 288 324 326 384 432 486 489 576 648 652 768 864 972 978 1152 1296 1304 1467 1728 1944 1956 2304 2592 2608 2934 3456 3888 3912 4401 5184 5216 5868 6912 7776 7824 8802 10368 10432 11736 13203 15552 15648 17604 20736 20864 23472 26406 31104 31296 35208 39609 41728 46944 52812 62208 62592 70416 79218 93888 105624 125184 140832 158436 187776 211248 281664 316872 375552 422496 563328 633744 844992 1126656 1267488 1689984 2534976 3379968 5069952 10139904