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151412040 = 233251332353
BaseRepresentation
bin10010000011001…
…01110101001000
3101112220112021100
421001211311020
5302230141130
623005141400
73515660343
oct1101456510
9345815240
10151412040
117851711a
124285a860
13254a4830
141617545a
15d45cc60
hex9065d48

151412040 has 96 divisors (see below), whose sum is σ = 529958520. Its totient is φ = 37269504.

The previous prime is 151412039. The next prime is 151412077. The reversal of 151412040 is 40214151.

It can be written as a sum of positive squares in 4 ways, for example, as 123343236 + 28068804 = 11106^2 + 5298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 11497 + ... + 20856.

Almost surely, 2151412040 is an apocalyptic number.

151412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151412040 is an abundant number, since it is smaller than the sum of its proper divisors (378546480).

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

151412040 is a wasteful number, since it uses less digits than its factorization.

151412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32383 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151412040 is about 12304.9599755546. The cubic root of 151412040 is about 532.9913206537.

Adding to 151412040 its reverse (40214151), we get a palindrome (191626191).

The spelling of 151412040 in words is "one hundred fifty-one million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 32353 64706 97059 129412 161765 194118 258824 291177 323530 388236 420589 485295 582354 647060 776472 841178 970590 1164708 1261767 1294120 1455885 1682356 1941180 2102945 2329416 2523534 2911770 3364712 3785301 3882360 4205890 5047068 5823540 6308835 7570602 8411780 10094136 11647080 12617670 15141204 16823560 18926505 25235340 30282408 37853010 50470680 75706020 151412040