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117016410 = 23572233461
BaseRepresentation
bin1101111100110…
…00011101011010
322011012001100010
412332120131122
5214424011120
615340022350
72620423500
oct676303532
9264161303
10117016410
1160064185
12332319b6
131b320ba4
1411780670
15a4167e0
hex6f9875a

117016410 has 96 divisors (see below), whose sum is σ = 340993152. Its totient is φ = 25576320.

The previous prime is 117016397. The next prime is 117016453. The reversal of 117016410 is 14610711.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32080 + ... + 35540.

It is an arithmetic number, because the mean of its divisors is an integer number (3552012).

Almost surely, 2117016410 is an apocalyptic number.

117016410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117016410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170496576).

117016410 is an abundant number, since it is smaller than the sum of its proper divisors (223976742).

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

117016410 is a wasteful number, since it uses less digits than its factorization.

117016410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 117016410 is about 10817.4123523142. The cubic root of 117016410 is about 489.1201899269.

The spelling of 117016410 in words is "one hundred seventeen million, sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3381 3461 4830 5635 6762 6922 10383 11270 16905 17305 20766 24227 33810 34610 48454 51915 72681 79603 103830 121135 145362 159206 169589 238809 242270 339178 363405 398015 477618 508767 557221 726810 796030 847945 1017534 1114442 1194045 1671663 1695890 2388090 2543835 2786105 3343326 3900547 5087670 5572210 7801094 8358315 11701641 16716630 19502735 23403282 39005470 58508205 117016410