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117925416 = 23337233391
BaseRepresentation
bin1110000011101…
…10011000101000
322012220020021000
413001312120220
5220142103131
615411315000
72631230610
oct701663050
9265806230
10117925416
1160625124
12335aba60
131b57b86b
1411939a40
15a545ce6
hex7076628

117925416 has 128 divisors (see below), whose sum is σ = 390758400. Its totient is φ = 32218560.

The previous prime is 117925403. The next prime is 117925429. The reversal of 117925416 is 614529711.

It is an interprime number because it is at equal distance from previous prime (117925403) and next prime (117925429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33081 + ... + 36471.

It is an arithmetic number, because the mean of its divisors is an integer number (3052800).

Almost surely, 2117925416 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 117925416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195379200).

117925416 is an abundant number, since it is smaller than the sum of its proper divisors (272832984).

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

117925416 is a wasteful number, since it uses less digits than its factorization.

117925416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3426 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 117925416 is about 10859.3469416904. The cubic root of 117925416 is about 490.3834510656.

It can be divided in two parts, 117925 and 416, that added together give a triangular number (118341 = T486).

The spelling of 117925416 in words is "one hundred seventeen million, nine hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3391 3864 4347 4968 5796 6782 8694 10173 11592 13564 17388 20346 23737 27128 30519 34776 40692 47474 61038 71211 77993 81384 91557 94948 122076 142422 155986 183114 189896 213633 233979 244152 284844 311972 366228 427266 467958 545951 569688 623944 640899 701937 732456 854532 935916 1091902 1281798 1403874 1637853 1709064 1871832 2105811 2183804 2563596 2807748 3275706 4211622 4367608 4913559 5127192 5615496 6551412 8423244 9827118 13102824 14740677 16846488 19654236 29481354 39308472 58962708 117925416