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117454080 = 283573419
BaseRepresentation
bin1110000000000…
…11010100000000
322012000021201010
413000003110000
5220032012310
615353240520
72624225502
oct700032400
9265007633
10117454080
1160332a97
1233403140
131b445173
1411855d72
15a4a1320
hex7003500

117454080 has 144 divisors (see below), whose sum is σ = 381165120. Its totient is φ = 30818304.

The previous prime is 117454079. The next prime is 117454087. The reversal of 117454080 is 80454711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117454087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280111 + ... + 280529.

It is an arithmetic number, because the mean of its divisors is an integer number (2646980).

Almost surely, 2117454080 is an apocalyptic number.

117454080 is a gapful number since it is divisible by the number (10) 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 117454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190582560).

117454080 is an abundant number, since it is smaller than the sum of its proper divisors (263711040).

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

117454080 is an equidigital number, since it uses as much as digits as its factorization.

117454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 117454080 is about 10837.6233556993. The cubic root of 117454080 is about 489.7292409461.

The spelling of 117454080 in words is "one hundred seventeen million, four hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 419 438 480 584 640 730 768 838 876 960 1095 1168 1257 1280 1460 1676 1752 1920 2095 2190 2336 2514 2920 3352 3504 3840 4190 4380 4672 5028 5840 6285 6704 7008 8380 8760 9344 10056 11680 12570 13408 14016 16760 17520 18688 20112 23360 25140 26816 28032 30587 33520 35040 40224 46720 50280 53632 56064 61174 67040 70080 80448 91761 93440 100560 107264 122348 134080 140160 152935 160896 183522 201120 244696 268160 280320 305870 321792 367044 402240 458805 489392 536320 611740 734088 804480 917610 978784 1223480 1468176 1608960 1835220 1957568 2446960 2936352 3670440 3915136 4893920 5872704 7340880 7830272 9787840 11745408 14681760 19575680 23490816 29363520 39151360 58727040 117454080