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116759040 = 293523661
BaseRepresentation
bin1101111010110…
…01101000000000
322010200222021220
412331121220000
5214342242130
615330315040
72615302236
oct675315000
9263628256
10116759040
115a9a8882
1233128a80
131b2609b8
1411714956
15a3b5410
hex6f59a00

116759040 has 160 divisors (see below), whose sum is σ = 390082176. Its totient is φ = 29736960.

The previous prime is 116759033. The next prime is 116759057. The reversal of 116759040 is 40957611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 116758992 and 116759010.

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, 176310 + ... + 176970.

Almost surely, 2116759040 is an apocalyptic number.

116759040 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 116759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195041088).

116759040 is an abundant number, since it is smaller than the sum of its proper divisors (273323136).

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

116759040 is an equidigital number, since it uses as much as digits as its factorization.

116759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 116759040 is about 10805.5097057011. The cubic root of 116759040 is about 488.7613306636.

The spelling of 116759040 in words is "one hundred sixteen million, seven hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 661 690 736 768 920 960 1104 1280 1322 1380 1472 1536 1840 1920 1983 2208 2560 2644 2760 2944 3305 3680 3840 3966 4416 5288 5520 5888 6610 7360 7680 7932 8832 9915 10576 11040 11776 13220 14720 15203 15864 17664 19830 21152 22080 26440 29440 30406 31728 35328 39660 42304 44160 45609 52880 58880 60812 63456 76015 79320 84608 88320 91218 105760 121624 126912 152030 158640 169216 176640 182436 211520 228045 243248 253824 304060 317280 338432 364872 423040 456090 486496 507648 608120 634560 729744 846080 912180 972992 1015296 1216240 1269120 1459488 1692160 1824360 1945984 2432480 2538240 2918976 3648720 3891968 4864960 5076480 5837952 7297440 7783936 9729920 11675904 14594880 19459840 23351808 29189760 38919680 58379520 116759040