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20578668 = 223113147107
BaseRepresentation
bin100111010000…
…0000101101100
31102201111121220
41032200011230
520232004133
62013023340
7336626055
oct116400554
942644556
1020578668
1110686070
126a84b50
134356936
142a3972c
151c175b3
hex13a016c

20578668 has 96 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 5851200.

The previous prime is 20578643. The next prime is 20578693. The reversal of 20578668 is 86687502.

It is an interprime number because it is at equal distance from previous prime (20578643) and next prime (20578693).

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, 192271 + ... + 192377.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 220578668 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 20578668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

20578668 is an abundant number, since it is smaller than the sum of its proper divisors (35159700).

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

20578668 is a wasteful number, since it uses less digits than its factorization.

20578668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 20578668 is about 4536.3716778941. The cubic root of 20578668 is about 274.0348225052.

The spelling of 20578668 in words is "twenty million, five hundred seventy-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 47 62 66 93 94 107 124 132 141 186 188 214 282 321 341 372 428 517 564 642 682 1023 1034 1177 1284 1364 1457 1551 2046 2068 2354 2914 3102 3317 3531 4092 4371 4708 5029 5828 6204 6634 7062 8742 9951 10058 13268 14124 15087 16027 17484 19902 20116 30174 32054 36487 39804 48081 55319 60348 64108 72974 96162 109461 110638 145948 155899 165957 192324 218922 221276 311798 331914 437844 467697 623596 663828 935394 1714889 1870788 3429778 5144667 6859556 10289334 20578668