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195989024 = 25721121033
BaseRepresentation
bin10111010111010…
…00111000100000
3111122210021101202
423223220320200
5400133122044
631240420332
74566610400
oct1353507040
9448707352
10195989024
11a06a3500
12557776a8
13317b174a
141c05a800
1512315c4e
hexbae8e20

195989024 has 108 divisors (see below), whose sum is σ = 493841502. Its totient is φ = 76285440.

The previous prime is 195989023. The next prime is 195989063. The reversal of 195989024 is 420989591.

It can be written as a sum of positive squares in only one way, i.e., 116208400 + 79780624 = 10780^2 + 8932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 195989024.

It is not an unprimeable number, because it can be changed into a prime (195989023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189212 + ... + 190244.

Almost surely, 2195989024 is an apocalyptic number.

195989024 is a gapful number since it is divisible by the number (14) 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 195989024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246920751).

195989024 is an abundant number, since it is smaller than the sum of its proper divisors (297852478).

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

195989024 is a wasteful number, since it uses less digits than its factorization.

195989024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 195989024 is about 13999.6079945118. The cubic root of 195989024 is about 580.8677300873.

The spelling of 195989024 in words is "one hundred ninety-five million, nine hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 121 154 176 196 224 242 308 352 392 484 539 616 784 847 968 1033 1078 1232 1568 1694 1936 2066 2156 2464 3388 3872 4132 4312 5929 6776 7231 8264 8624 11363 11858 13552 14462 16528 17248 22726 23716 27104 28924 33056 45452 47432 50617 57848 79541 90904 94864 101234 115696 124993 159082 181808 189728 202468 231392 249986 318164 363616 404936 499972 556787 636328 809872 874951 999944 1113574 1272656 1619744 1749902 1999888 2227148 2545312 3499804 3999776 4454296 6124657 6999608 8908592 12249314 13999216 17817184 24498628 27998432 48997256 97994512 195989024