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107630616 = 23323732671
BaseRepresentation
bin1100110101001…
…01000000011000
321111112012110010
412122211000120
5210023134431
614402521520
72444562612
oct632450030
9244465403
10107630616
1155833525
12300662a0
13193b5a72
1410419db2
1596b0846
hex66a5018

107630616 has 64 divisors (see below), whose sum is σ = 284728320. Its totient is φ = 33834240.

The previous prime is 107630603. The next prime is 107630647. The reversal of 107630616 is 616036701.

It is a congruent number.

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, 38961 + ... + 41631.

It is an arithmetic number, because the mean of its divisors is an integer number (4448880).

Almost surely, 2107630616 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 107630616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142364160).

107630616 is an abundant number, since it is smaller than the sum of its proper divisors (177097704).

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

107630616 is a wasteful number, since it uses less digits than its factorization.

107630616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 107630616 is about 10374.5176273406. The cubic root of 107630616 is about 475.6767689999.

The spelling of 107630616 in words is "one hundred seven million, six hundred thirty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 146 184 219 276 292 438 552 584 876 1679 1752 2671 3358 5037 5342 6716 8013 10074 10684 13432 16026 20148 21368 32052 40296 61433 64104 122866 184299 194983 245732 368598 389966 491464 584949 737196 779932 1169898 1474392 1559864 2339796 4484609 4679592 8969218 13453827 17938436 26907654 35876872 53815308 107630616