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117001962 = 233711191481
BaseRepresentation
bin1101111100101…
…00111011101010
322011011022112000
412332110323222
5214423030322
615335431430
72620333410
oct676247352
9264138460
10117001962
1160054340
1233225576
131b31743c
14117792b0
15a4123ac
hex6f94eea

117001962 has 128 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 28771200.

The previous prime is 117001961. The next prime is 117001993. The reversal of 117001962 is 269100711.

It is a super-2 number, since 2×1170019622 = 27378918223698888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117001961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78262 + ... + 79742.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2117001962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117001962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

117001962 is an abundant number, since it is smaller than the sum of its proper divisors (224450838).

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

117001962 is a wasteful number, since it uses less digits than its factorization.

117001962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 117001962 is about 10816.7445194938. The cubic root of 117001962 is about 489.1000585642.

The spelling of 117001962 in words is "one hundred seventeen million, one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 99 114 126 133 154 171 189 198 209 231 266 297 342 378 399 418 462 513 594 627 693 798 1026 1197 1254 1386 1463 1481 1881 2079 2394 2926 2962 3591 3762 4158 4389 4443 5643 7182 8778 8886 10367 11286 13167 13329 16291 20734 26334 26658 28139 31101 32582 39501 39987 48873 56278 62202 79002 79974 84417 93303 97746 114037 146619 168834 186606 196973 228074 253251 279909 293238 309529 342111 393946 439857 506502 559818 590919 619058 684222 759753 879714 928587 1026333 1181838 1519506 1772757 1857174 2052666 2166703 2785761 3078999 3545514 4333406 5318271 5571522 6157998 6500109 8357283 10636542 13000218 16714566 19500327 39000654 58500981 117001962