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10064088 = 233531167
BaseRepresentation
bin100110011001…
…000011011000
3200221022100000
4212121003120
510034022323
6555413000
7151354236
oct46310330
920838300
1010064088
115754331
123454160
132114aa8
14149d956
15d3be43
hex9990d8

10064088 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3227040.

The previous prime is 10064083. The next prime is 10064101. The reversal of 10064088 is 88046001.

10064088 is a `hidden beast` number, since 10 + 0 + 640 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60181 + ... + 60347.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 210064088 is an apocalyptic number.

10064088 is a gapful number since it is divisible by the number (18) 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 10064088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10064088 is an abundant number, since it is smaller than the sum of its proper divisors (19288872).

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

10064088 is a wasteful number, since it uses less digits than its factorization.

10064088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10064088 is about 3172.3946791028. The cubic root of 10064088 is about 215.9027339849.

The spelling of 10064088 in words is "ten million, sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 167 186 216 243 248 279 324 334 372 486 501 558 648 668 744 837 972 1002 1116 1336 1503 1674 1944 2004 2232 2511 3006 3348 4008 4509 5022 5177 6012 6696 7533 9018 10044 10354 12024 13527 15066 15531 18036 20088 20708 27054 30132 31062 36072 40581 41416 46593 54108 60264 62124 81162 93186 108216 124248 139779 162324 186372 279558 324648 372744 419337 559116 838674 1118232 1258011 1677348 2516022 3354696 5032044 10064088