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117892944 = 24321371887
BaseRepresentation
bin1110000011011…
…10011101010000
322012211120201100
413001232131100
5220140033234
615410504400
72631034131
oct701563520
9265746640
10117892944
1160602794
1233595100
131b569b50
141192bc88
15a53b399
hex706e750

117892944 has 120 divisors (see below), whose sum is σ = 360726912. Its totient is φ = 35723520.

The previous prime is 117892939. The next prime is 117892961. The reversal of 117892944 is 449298711.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 117892944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132469 + ... + 133355.

Almost surely, 2117892944 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 117892944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363456).

117892944 is an abundant number, since it is smaller than the sum of its proper divisors (242833968).

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

117892944 is a wasteful number, since it uses less digits than its factorization.

117892944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 117892944 is about 10857.8517212200. The cubic root of 117892944 is about 490.3384361916.

The spelling of 117892944 in words is "one hundred seventeen million, eight hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 468 568 624 639 852 887 923 936 1136 1278 1704 1774 1846 1872 2556 2661 2769 3408 3548 3692 5112 5322 5538 7096 7384 7983 8307 10224 10644 11076 11531 14192 14768 15966 16614 21288 22152 23062 31932 33228 34593 42576 44304 46124 62977 63864 66456 69186 92248 103779 125954 127728 132912 138372 184496 188931 207558 251908 276744 377862 415116 503816 553488 566793 755724 818701 830232 1007632 1133586 1511448 1637402 1660464 2267172 2456103 3022896 3274804 4534344 4912206 6549608 7368309 9068688 9824412 13099216 14736618 19648824 29473236 39297648 58946472 117892944