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107754136 = 2373107367
BaseRepresentation
bin1100110110000…
…11001010011000
321111202110212221
412123003022120
5210041113021
614405313424
72445616000
oct633031230
9244673787
10107754136
1155908306
1230105874
131942a059
141044d000
1596d7241
hex66c3298

107754136 has 64 divisors (see below), whose sum is σ = 238464000. Its totient is φ = 45624096.

The previous prime is 107754091. The next prime is 107754139. The reversal of 107754136 is 631457701.

It is a super-2 number, since 2×1077541362 = 23221907650212992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107754139) 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, 293425 + ... + 293791.

It is an arithmetic number, because the mean of its divisors is an integer number (3726000).

Almost surely, 2107754136 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 107754136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119232000).

107754136 is an abundant number, since it is smaller than the sum of its proper divisors (130709864).

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

107754136 is a wasteful number, since it uses less digits than its factorization.

107754136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 107754136 is about 10380.4689682114. The cubic root of 107754136 is about 475.8586662285.

The spelling of 107754136 in words is "one hundred seven million, seven hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 343 367 392 428 686 734 749 856 1372 1468 1498 2569 2744 2936 2996 5138 5243 5992 10276 10486 17983 20552 20972 35966 36701 39269 41944 71932 73402 78538 125881 143864 146804 157076 251762 274883 293608 314152 503524 549766 1007048 1099532 1924181 2199064 3848362 7696724 13469267 15393448 26938534 53877068 107754136