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60904116 = 22337136197
BaseRepresentation
bin1110100001010…
…1001010110100
311020121020202000
43220111022310
5111042412431
610013215300
71336451010
oct350251264
9136536660
1060904116
1131419189
1218491530
13c805650
148135540
1555309e6
hex3a152b4

60904116 has 96 divisors (see below), whose sum is σ = 194369280. Its totient is φ = 16060032.

The previous prime is 60904099. The next prime is 60904133. The reversal of 60904116 is 61140906.

60904116 is a `hidden beast` number, since 609 + 0 + 41 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (60904099) and next prime (60904133).

It is a super-2 number, since 2×609041162 = 7418622691482912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 60904116.

It is a congruent number.

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, 6730 + ... + 12926.

It is an arithmetic number, because the mean of its divisors is an integer number (2024680).

Almost surely, 260904116 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 60904116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97184640).

60904116 is an abundant number, since it is smaller than the sum of its proper divisors (133465164).

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

60904116 is a wasteful number, since it uses less digits than its factorization.

60904116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 60904116 is about 7804.1089177433. The cubic root of 60904116 is about 393.4433549034.

The spelling of 60904116 in words is "sixty million, nine hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 6197 9828 12394 18591 24788 37182 43379 55773 74364 80561 86758 111546 130137 161122 167319 173516 223092 241683 260274 322244 334638 390411 483366 520548 563927 669276 725049 780822 966732 1127854 1171233 1450098 1561644 1691781 2175147 2255708 2342466 2900196 3383562 4350294 4684932 5075343 6767124 8700588 10150686 15226029 20301372 30452058 60904116