Search a number
-
+
157817540 = 22547167891
BaseRepresentation
bin10010110100000…
…01101011000100
3101222221221222002
421122001223010
5310400130130
623354324432
73624266306
oct1132015304
9358857862
10157817540
11810a1721
1244a29718
132690827a
1416d61976
15dcc5b45
hex9681ac4

157817540 has 24 divisors (see below), whose sum is σ = 338470272. Its totient is φ = 61783520.

The previous prime is 157817531. The next prime is 157817549. The reversal of 157817540 is 45718751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157817531) and next prime (157817549).

It is a junction number, because it is equal to n+sod(n) for n = 157817494 and 157817503.

It is not an unprimeable number, because it can be changed into a prime (157817549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83006 + ... + 84885.

It is an arithmetic number, because the mean of its divisors is an integer number (14102928).

Almost surely, 2157817540 is an apocalyptic number.

157817540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157817540 is an abundant number, since it is smaller than the sum of its proper divisors (180652732).

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

157817540 is a wasteful number, since it uses less digits than its factorization.

157817540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167947 (or 167945 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 38.

The square root of 157817540 is about 12562.5451242971. The cubic root of 157817540 is about 540.4038360069.

The spelling of 157817540 in words is "one hundred fifty-seven million, eight hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 167891 335782 671564 839455 1678910 3357820 7890877 15781754 31563508 39454385 78908770 157817540