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103952712 = 23341891187
BaseRepresentation
bin1100011001000…
…11000101001000
321020121100022110
412030203011020
5203102441322
614152022320
72401404063
oct614430510
9236540273
10103952712
1153751236
122a9919a0
13186c89a6
14db3d8da
1591d5c0c
hex6323148

103952712 has 64 divisors (see below), whose sum is σ = 269438400. Its totient is φ = 33397760.

The previous prime is 103952701. The next prime is 103952729. The reversal of 103952712 is 217259301.

It is a self number, because there is not a number n which added to its sum of digits gives 103952712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86983 + ... + 88169.

It is an arithmetic number, because the mean of its divisors is an integer number (4209975).

Almost surely, 2103952712 is an apocalyptic number.

103952712 is a gapful number since it is divisible by the number (12) 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 103952712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200).

103952712 is an abundant number, since it is smaller than the sum of its proper divisors (165485688).

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

103952712 is a wasteful number, since it uses less digits than its factorization.

103952712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 103952712 is about 10195.7202786267. The cubic root of 103952712 is about 470.1956511522.

The spelling of 103952712 in words is "one hundred three million, nine hundred fifty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 164 178 246 267 328 356 492 534 712 984 1068 1187 2136 2374 3561 3649 4748 7122 7298 9496 10947 14244 14596 21894 28488 29192 43788 48667 87576 97334 105643 146001 194668 211286 292002 316929 389336 422572 584004 633858 845144 1168008 1267716 2535432 4331363 8662726 12994089 17325452 25988178 34650904 51976356 103952712