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118297920 = 2635139479
BaseRepresentation
bin1110000110100…
…01010101000000
322020121011020110
413003101111000
5220241013140
615423311320
72634341616
oct703212500
9266534213
10118297920
1160859a84
123374b540
131b67c290
14119d56b6
15a5bb380
hex70d1540

118297920 has 112 divisors (see below), whose sum is σ = 404530560. Its totient is φ = 29116416.

The previous prime is 118297903. The next prime is 118297969. The reversal of 118297920 is 29792811.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 7741 + ... + 17219.

It is an arithmetic number, because the mean of its divisors is an integer number (3611880).

Almost surely, 2118297920 is an apocalyptic number.

118297920 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 118297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202265280).

118297920 is an abundant number, since it is smaller than the sum of its proper divisors (286232640).

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

118297920 is a wasteful number, since it uses less digits than its factorization.

118297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 118297920 is about 10876.4847262339. The cubic root of 118297920 is about 490.8992510810.

The spelling of 118297920 in words is "one hundred eighteen million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 9479 12480 18958 28437 37916 47395 56874 75832 94790 113748 123227 142185 151664 189580 227496 246454 284370 303328 369681 379160 454992 492908 568740 606656 616135 739362 758320 909984 985816 1137480 1232270 1478724 1516640 1819968 1848405 1971632 2274960 2464540 2957448 3033280 3696810 3943264 4549920 4929080 5914896 7393620 7886528 9099840 9858160 11829792 14787240 19716320 23659584 29574480 39432640 59148960 118297920