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196131840 = 210351132
BaseRepresentation
bin10111011000010…
…11110000000000
3111200001112022020
423230023300000
5400202204330
631243441440
74601043642
oct1354136000
9450045266
10196131840
11a0790833
1255826280
1331831758
141c096892
1512343210
hexbb0bc00

196131840 has 132 divisors (see below), whose sum is σ = 632916024. Its totient is φ = 51838976.

The previous prime is 196131827. The next prime is 196131877. The reversal of 196131840 is 48131691.

196131840 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1735624 + ... + 1735736.

Almost surely, 2196131840 is an apocalyptic number.

196131840 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 196131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316458012).

196131840 is an abundant number, since it is smaller than the sum of its proper divisors (436784184).

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

196131840 is an equidigital number, since it uses as much as digits as its factorization.

196131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 196131840 is about 14004.7077798860. The cubic root of 196131840 is about 581.0087874146.

The spelling of 196131840 in words is "one hundred ninety-six million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 320 339 384 452 480 512 565 640 678 768 904 960 1024 1130 1280 1356 1536 1695 1808 1920 2260 2560 2712 3072 3390 3616 3840 4520 5120 5424 6780 7232 7680 9040 10848 12769 13560 14464 15360 18080 21696 25538 27120 28928 36160 38307 43392 51076 54240 57856 63845 72320 76614 86784 102152 108480 115712 127690 144640 153228 173568 191535 204304 216960 255380 289280 306456 347136 383070 408608 433920 510760 578560 612912 766140 817216 867840 1021520 1225824 1532280 1634432 1735680 2043040 2451648 3064560 3268864 4086080 4903296 6129120 6537728 8172160 9806592 12258240 13075456 16344320 19613184 24516480 32688640 39226368 49032960 65377280 98065920 196131840