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102061064 = 23717472281
BaseRepresentation
bin1100001010101…
…01010000001000
321010001020110102
412011111100020
5202111423224
614043304532
72346335060
oct605252010
9233036412
10102061064
1152679a96
122a21b148
13181b5981
14d7aa3a0
158e604ae
hex6155408

102061064 has 64 divisors (see below), whose sum is σ = 236597760. Its totient is φ = 40273920.

The previous prime is 102061049. The next prime is 102061067. The reversal of 102061064 is 460160201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102061067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43604 + ... + 45884.

It is an arithmetic number, because the mean of its divisors is an integer number (3696840).

Almost surely, 2102061064 is an apocalyptic number.

102061064 is a gapful number since it is divisible by the number (14) 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 102061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118298880).

102061064 is an abundant number, since it is smaller than the sum of its proper divisors (134536696).

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

102061064 is a wasteful number, since it uses less digits than its factorization.

102061064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102061064 is about 10102.5276045156. The cubic root of 102061064 is about 467.3260931509.

The spelling of 102061064 in words is "one hundred two million, sixty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2281 2632 3196 4562 5593 6392 9124 11186 15967 18248 22372 31934 38777 44744 63868 77554 107207 127736 155108 214414 271439 310216 428828 542878 750449 857656 1085756 1500898 1822519 2171512 3001796 3645038 6003592 7290076 12757633 14580152 25515266 51030532 102061064