Search a number
-
+
107091144 = 23321978283
BaseRepresentation
bin1100110001000…
…01010011001000
321110111210102200
412120201103020
5204403404034
614343200200
72440155036
oct630412310
9243453380
10107091144
11554a5186
122ba46060
1319257354
1410319556
159605a99
hex66214c8

107091144 has 48 divisors (see below), whose sum is σ = 305307600. Its totient is φ = 33817824.

The previous prime is 107091133. The next prime is 107091157. The reversal of 107091144 is 441190701.

It is a super-2 number, since 2×1070911442 = 22937026246457472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37774 + ... + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (6360575).

Almost surely, 2107091144 is an apocalyptic number.

It is an amenable number.

107091144 is an abundant number, since it is smaller than the sum of its proper divisors (198216456).

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

107091144 is a wasteful number, since it uses less digits than its factorization.

107091144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78314 (or 78307 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107091144 is about 10348.4851065265. The cubic root of 107091144 is about 474.8806998639.

The spelling of 107091144 in words is "one hundred seven million, ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 78283 156566 234849 313132 469698 626264 704547 939396 1409094 1487377 1878792 2818188 2974754 4462131 5636376 5949508 8924262 11899016 13386393 17848524 26772786 35697048 53545572 107091144