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102173064 = 23372512423
BaseRepresentation
bin1100001011100…
…00100110001000
321010020221002120
412011300212020
5202124014224
614045531240
72350312440
oct605604610
9233227076
10102173064
1152746154
122a273b20
1318224946
14d7d9120
158e83779
hex6170988

102173064 has 64 divisors (see below), whose sum is σ = 293207040. Its totient is φ = 29064000.

The previous prime is 102173053. The next prime is 102173069. The reversal of 102173064 is 460371201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102173069) 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, 40957 + ... + 43379.

It is an arithmetic number, because the mean of its divisors is an integer number (4581360).

Almost surely, 2102173064 is an apocalyptic number.

102173064 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 102173064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146603520).

102173064 is an abundant number, since it is smaller than the sum of its proper divisors (191033976).

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

102173064 is a wasteful number, since it uses less digits than its factorization.

102173064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102173064 is about 10108.0692518403. The cubic root of 102173064 is about 467.4969757780.

It can be divided in two parts, 102 and 173064, that added together give a triangular number (173166 = T588).

The spelling of 102173064 in words is "one hundred two million, one hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 2423 3012 3514 4846 5271 6024 7028 7269 9692 10542 14056 14538 16961 19384 21084 29076 33922 42168 50883 58152 67844 101766 135688 203532 407064 608173 1216346 1824519 2432692 3649038 4257211 4865384 7298076 8514422 12771633 14596152 17028844 25543266 34057688 51086532 102173064