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151796940 = 223537101677
BaseRepresentation
bin10010000110000…
…11110011001100
3101120122002020220
421003003303030
5302330000230
623021311340
73522152451
oct1103036314
9346562226
10151796940
117875a319
1242a05550
13255aaa99
1416235828
15d4d6d10
hex90c3ccc

151796940 has 96 divisors (see below), whose sum is σ = 441491904. Its totient is φ = 38937600.

The previous prime is 151796921. The next prime is 151796951. The reversal of 151796940 is 49697151.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151796892 and 151796901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223882 + ... + 224558.

It is an arithmetic number, because the mean of its divisors is an integer number (4598874).

Almost surely, 2151796940 is an apocalyptic number.

151796940 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 151796940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220745952).

151796940 is an abundant number, since it is smaller than the sum of its proper divisors (289694964).

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

151796940 is a wasteful number, since it uses less digits than its factorization.

151796940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 151796940 is about 12320.5900832712. The cubic root of 151796940 is about 533.4425722419.

The spelling of 151796940 in words is "one hundred fifty-one million, seven hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 606 677 740 1010 1110 1212 1354 1515 2020 2031 2220 2708 3030 3385 3737 4062 6060 6770 7474 8124 10155 11211 13540 14948 18685 20310 22422 25049 37370 40620 44844 50098 56055 68377 74740 75147 100196 112110 125245 136754 150294 205131 224220 250490 273508 300588 341885 375735 410262 500980 683770 751470 820524 1025655 1367540 1502940 2051310 2529949 4102620 5059898 7589847 10119796 12649745 15179694 25299490 30359388 37949235 50598980 75898470 151796940