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117749632 = 2771113919
BaseRepresentation
bin1110000010010…
…11011110000000
322012120022010111
413001023132000
5220120442012
615403441104
72626566250
oct701133600
9265508114
10117749632
1160515050
1233526194
131b519850
14118d1960
15a50dba7
hex704b780

117749632 has 128 divisors (see below), whose sum is σ = 315302400. Its totient is φ = 42301440.

The previous prime is 117749557. The next prime is 117749641. The reversal of 117749632 is 236947711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1177496322 = 27729951672270848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127669 + ... + 128587.

It is an arithmetic number, because the mean of its divisors is an integer number (2463300).

Almost surely, 2117749632 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 117749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157651200).

117749632 is an abundant number, since it is smaller than the sum of its proper divisors (197552768).

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

117749632 is a wasteful number, since it uses less digits than its factorization.

117749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 117749632 is about 10851.2502505472. The cubic root of 117749632 is about 490.1396686402.

The spelling of 117749632 in words is "one hundred seventeen million, seven hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 919 1001 1144 1232 1408 1456 1664 1838 2002 2288 2464 2912 3676 4004 4576 4928 5824 6433 7352 8008 9152 9856 10109 11648 11947 12866 14704 16016 18304 20218 23894 25732 29408 32032 40436 47788 51464 58816 64064 70763 80872 83629 95576 102928 117632 128128 131417 141526 161744 167258 191152 205856 262834 283052 323488 334516 382304 411712 525668 566104 646976 669032 764608 823424 919919 1051336 1132208 1293952 1338064 1529216 1839838 2102672 2264416 2676128 3679676 4205344 4528832 5352256 7359352 8410688 9057664 10704512 14718704 16821376 29437408 58874816 117749632