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116398464 = 2737133331
BaseRepresentation
bin1101111000000…
…01100110000000
322010000122200020
412330001212000
5214244222324
615314453440
72612241060
oct674014600
9263018606
10116398464
115a781986
1232b94280
131b165840
141165d3a0
15a343679
hex6f01980

116398464 has 128 divisors (see below), whose sum is σ = 380647680. Its totient is φ = 30689280.

The previous prime is 116398433. The next prime is 116398481. The reversal of 116398464 is 464893611.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33279 + ... + 36609.

It is an arithmetic number, because the mean of its divisors is an integer number (2973810).

Almost surely, 2116398464 is an apocalyptic number.

116398464 is a gapful number since it is divisible by the number (14) 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 116398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190323840).

116398464 is an abundant number, since it is smaller than the sum of its proper divisors (264249216).

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

116398464 is a wasteful number, since it uses less digits than its factorization.

116398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3356 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 116398464 is about 10788.8119827903. The cubic root of 116398464 is about 488.2576799119.

The spelling of 116398464 in words is "one hundred sixteen million, three hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 3331 4368 4992 5824 6662 8736 9993 11648 13324 17472 19986 23317 26648 34944 39972 43303 46634 53296 69951 79944 86606 93268 106592 129909 139902 159888 173212 186536 213184 259818 279804 303121 319776 346424 373072 426368 519636 559608 606242 639552 692848 746144 909363 1039272 1119216 1212484 1279104 1385696 1492288 1818726 2078544 2238432 2424968 2771392 2984576 3637452 4157088 4476864 4849936 5542784 7274904 8314176 8953728 9699872 14549808 16628352 19399744 29099616 38799488 58199232 116398464