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113988240 = 24325315107
BaseRepresentation
bin1101100101101…
…01001010010000
321221111012110200
412302311022100
5213140110430
615151055200
72552612142
oct662651220
9257435420
10113988240
1159386063
1232211500
131a800782
14111d2c92
15a019460
hex6cb5290

113988240 has 120 divisors (see below), whose sum is σ = 395236608. Its totient is φ = 29410560.

The previous prime is 113988233. The next prime is 113988269. The reversal of 113988240 is 42889311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 113988195 and 113988204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19767 + ... + 24873.

Almost surely, 2113988240 is an apocalyptic number.

113988240 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 113988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197618304).

113988240 is an abundant number, since it is smaller than the sum of its proper divisors (281248368).

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

113988240 is a wasteful number, since it uses less digits than its factorization.

113988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 113988240 is about 10676.5275253708. The cubic root of 113988240 is about 484.8640849179.

The spelling of 113988240 in words is "one hundred thirteen million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5107 5580 7440 10214 11160 15321 20428 22320 25535 30642 40856 45963 51070 61284 76605 81712 91926 102140 122568 153210 158317 183852 204280 229815 245136 306420 316634 367704 408560 459630 474951 612840 633268 735408 791585 919260 949902 1225680 1266536 1424853 1583170 1838520 1899804 2374755 2533072 2849706 3166340 3677040 3799608 4749510 5699412 6332680 7124265 7599216 9499020 11398824 12665360 14248530 18998040 22797648 28497060 37996080 56994120 113988240