Search a number
-
+
108172944 = 243211471453
BaseRepresentation
bin1100111001010…
…01011010010000
321112112202101100
412130221122100
5210143013234
614422304400
72452312005
oct634513220
9245482340
10108172944
1156073a30
1230288100
1319545879
141051b8ac
15976b399
hex6729690

108172944 has 120 divisors (see below), whose sum is σ = 337514112. Its totient is φ = 32060160.

The previous prime is 108172931. The next prime is 108172951. The reversal of 108172944 is 449271801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108172899 and 108172908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73722 + ... + 75174.

Almost surely, 2108172944 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 108172944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168757056).

108172944 is an abundant number, since it is smaller than the sum of its proper divisors (229341168).

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

108172944 is a wasteful number, since it uses less digits than its factorization.

108172944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 108172944 is about 10400.6222890748. The cubic root of 108172944 is about 476.4743758487.

The spelling of 108172944 in words is "one hundred eight million, one hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1453 1551 1584 1692 2068 2256 2906 3102 3384 4136 4359 4653 5812 6204 6768 8272 8718 9306 11624 12408 13077 15983 17436 18612 23248 24816 26154 31966 34872 37224 47949 52308 63932 68291 69744 74448 95898 104616 127864 136582 143847 191796 204873 209232 255728 273164 287694 383592 409746 546328 575388 614619 751201 767184 819492 1092656 1150776 1229238 1502402 1638984 2253603 2301552 2458476 3004804 3277968 4507206 4916952 6009608 6760809 9014412 9833904 12019216 13521618 18028824 27043236 36057648 54086472 108172944