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117462720 = 2635313947
BaseRepresentation
bin1110000000001…
…01011011000000
322012000201120010
413000011123000
5220032301340
615353344520
72624262624
oct700053300
9265021503
10117462720
1160339531
1233408140
131b44908b
1411859184
15a4a3b80
hex70056c0

117462720 has 112 divisors (see below), whose sum is σ = 385072128. Its totient is φ = 30305280.

The previous prime is 117462701. The next prime is 117462721. The reversal of 117462720 is 27264711.

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

It is not an unprimeable number, because it can be changed into a prime (117462721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27787 + ... + 31733.

It is an arithmetic number, because the mean of its divisors is an integer number (3438144).

Almost surely, 2117462720 is an apocalyptic number.

117462720 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 117462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192536064).

117462720 is an abundant number, since it is smaller than the sum of its proper divisors (267609408).

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

117462720 is a wasteful number, since it uses less digits than its factorization.

117462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 117462720 is about 10838.0219597489. The cubic root of 117462720 is about 489.7412489209.

The spelling of 117462720 in words is "one hundred seventeen million, four hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 3947 4960 5952 7440 7894 9920 11841 14880 15788 19735 23682 29760 31576 39470 47364 59205 63152 78940 94728 118410 122357 126304 157880 189456 236820 244714 252608 315760 367071 378912 473640 489428 611785 631520 734142 757824 947280 978856 1223570 1263040 1468284 1835355 1894560 1957712 2447140 2936568 3670710 3789120 3915424 4894280 5873136 7341420 7830848 9788560 11746272 14682840 19577120 23492544 29365680 39154240 58731360 117462720