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116586240 = 283597313
BaseRepresentation
bin1101111001011…
…11011100000000
322010101012020220
412330233130000
5214321224430
615322503040
72613652401
oct674573400
9263335226
10116586240
115a89aa71
1233064a80
131b200154
14116ab9a8
15a37e110
hex6f2f700

116586240 has 144 divisors (see below), whose sum is σ = 377387808. Its totient is φ = 30670848.

The previous prime is 116586233. The next prime is 116586259. The reversal of 116586240 is 42685611.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 372324 + ... + 372636.

Almost surely, 2116586240 is an apocalyptic number.

116586240 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 116586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188693904).

116586240 is an abundant number, since it is smaller than the sum of its proper divisors (260801568).

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

116586240 is an equidigital number, since it uses as much as digits as its factorization.

116586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 116586240 is about 10797.5108242595. The cubic root of 116586240 is about 488.5200940754.

The spelling of 116586240 in words is "one hundred sixteen million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 313 320 384 388 480 485 582 626 640 768 776 939 960 970 1164 1252 1280 1455 1552 1565 1878 1920 1940 2328 2504 2910 3104 3130 3756 3840 3880 4656 4695 5008 5820 6208 6260 7512 7760 9312 9390 10016 11640 12416 12520 15024 15520 18624 18780 20032 23280 24832 25040 30048 30361 31040 37248 37560 40064 46560 50080 60096 60722 62080 74496 75120 80128 91083 93120 100160 120192 121444 124160 150240 151805 182166 186240 200320 240384 242888 300480 303610 364332 372480 400640 455415 485776 600960 607220 728664 910830 971552 1201920 1214440 1457328 1821660 1943104 2428880 2914656 3643320 3886208 4857760 5829312 7286640 7772416 9715520 11658624 14573280 19431040 23317248 29146560 38862080 58293120 116586240