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116249640 = 233513431733
BaseRepresentation
bin1101110110111…
…01010000101000
322002202002112020
412323131100220
5214224442030
615311344440
72611051143
oct673352050
9262662466
10116249640
115a690091
1232b22120
131b112b90
141162105a
15a314510
hex6edd428

116249640 has 128 divisors (see below), whose sum is σ = 384531840. Its totient is φ = 27933696.

The previous prime is 116249633. The next prime is 116249641. The reversal of 116249640 is 46942611.

It is not an unprimeable number, because it can be changed into a prime (116249641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66214 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (3004155).

Almost surely, 2116249640 is an apocalyptic number.

116249640 is a gapful number since it is divisible by the number (10) 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 116249640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192265920).

116249640 is an abundant number, since it is smaller than the sum of its proper divisors (268282200).

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

116249640 is a wasteful number, since it uses less digits than its factorization.

116249640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 116249640 is about 10781.9126318107. The cubic root of 116249640 is about 488.0495000402.

The spelling of 116249640 in words is "one hundred sixteen million, two hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 1733 2236 2580 2795 3354 3466 4472 5160 5199 5590 6708 6932 8385 8665 10398 11180 13416 13864 16770 17330 20796 22360 22529 25995 33540 34660 41592 45058 51990 67080 67587 69320 74519 90116 103980 112645 135174 149038 180232 207960 223557 225290 270348 298076 337935 372595 447114 450580 540696 596152 675870 745190 894228 901160 968747 1117785 1351740 1490380 1788456 1937494 2235570 2703480 2906241 2980760 3874988 4471140 4843735 5812482 7749976 8942280 9687470 11624964 14531205 19374940 23249928 29062410 38749880 58124820 116249640