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117451152 = 24327138963
BaseRepresentation
bin1110000000000…
…10100110010000
322012000010200200
413000002212100
5220031414102
615353215200
72624214120
oct700024620
9265003620
10117451152
1160330875
1233401500
131b443a30
1411854c80
15a4a051c
hex7002990

117451152 has 120 divisors (see below), whose sum is σ = 404599104. Its totient is φ = 30972672.

The previous prime is 117451121. The next prime is 117451171. The reversal of 117451152 is 251154711.

It is a super-2 number, since 2×1174511522 = 27589546212254208, which contains 22 as substring.

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, 8623 + ... + 17585.

Almost surely, 2117451152 is an apocalyptic number.

117451152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552).

117451152 is an abundant number, since it is smaller than the sum of its proper divisors (287147952).

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

117451152 is a wasteful number, since it uses less digits than its factorization.

117451152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8997 (or 8988 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 117451152 is about 10837.4882698898. The cubic root of 117451152 is about 489.7251714433.

It can be divided in two parts, 1174 and 51152, that added together give a triangular number (52326 = T323).

The spelling of 117451152 in words is "one hundred seventeen million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 8963 13104 17926 26889 35852 53778 62741 71704 80667 107556 116519 125482 143408 161334 188223 215112 233038 250964 322668 349557 376446 430224 466076 501928 564669 645336 699114 752892 815633 932152 1003856 1048671 1129338 1290672 1398228 1505784 1631266 1864304 2097342 2258676 2446899 2796456 3011568 3262532 4194684 4517352 4893798 5592912 6525064 7340697 8389368 9034704 9787596 13050128 14681394 16778736 19575192 29362788 39150384 58725576 117451152