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104708480 = 27547592
BaseRepresentation
bin1100011110110…
…11100110000000
321022000202000212
412033123212000
5203301132410
614220133252
72411002352
oct617334600
9238022025
10104708480
1154118038
122b097228
13189019a6
14dc990d2
1592d4b05
hex63db980

104708480 has 96 divisors (see below), whose sum is σ = 260051040. Its totient is φ = 40297472.

The previous prime is 104708479. The next prime is 104708497. The reversal of 104708480 is 84807401.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1774691 + ... + 1774749.

It is an arithmetic number, because the mean of its divisors is an integer number (2708865).

Almost surely, 2104708480 is an apocalyptic number.

104708480 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 104708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130025520).

104708480 is an abundant number, since it is smaller than the sum of its proper divisors (155342560).

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

104708480 is an frugal number, since it uses more digits than its factorization.

104708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 104708480 is about 10232.7161594564. The cubic root of 104708480 is about 471.3323894908.

The spelling of 104708480 in words is "one hundred four million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 128 160 188 235 236 295 320 376 470 472 590 640 752 940 944 1180 1504 1880 1888 2360 2773 3008 3481 3760 3776 4720 5546 6016 6962 7520 7552 9440 11092 13865 13924 15040 17405 18880 22184 27730 27848 30080 34810 37760 44368 55460 55696 69620 88736 110920 111392 139240 163607 177472 221840 222784 278480 327214 354944 443680 445568 556960 654428 818035 887360 1113920 1308856 1636070 1774720 2227840 2617712 3272140 5235424 6544280 10470848 13088560 20941696 26177120 52354240 104708480