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151140440 = 2351119101179
BaseRepresentation
bin10010000001000…
…11100001011000
3101112101201201002
421000203201120
5302142443230
622555244132
73513446453
oct1100434130
9345351632
10151140440
1178351060
1242749648
132540b019
141610449a
15d407545
hex9023858

151140440 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 51264000.

The previous prime is 151140433. The next prime is 151140467. The reversal of 151140440 is 44041151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 844271 + ... + 844449.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2151140440 is an apocalyptic number.

151140440 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 151140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

151140440 is an abundant number, since it is smaller than the sum of its proper divisors (245435560).

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

151140440 is a wasteful number, since it uses less digits than its factorization.

151140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 151140440 is about 12293.9188219217. The cubic root of 151140440 is about 532.6724400565.

Adding to 151140440 its reverse (44041151), we get a palindrome (195181591).

The spelling of 151140440 in words is "one hundred fifty-one million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 179 190 202 209 220 358 380 404 418 440 505 716 760 808 836 895 1010 1045 1111 1432 1672 1790 1919 1969 2020 2090 2222 3401 3580 3838 3938 4040 4180 4444 5555 6802 7160 7676 7876 8360 8888 9595 9845 11110 13604 15352 15752 17005 18079 19190 19690 21109 22220 27208 34010 36158 37411 38380 39380 42218 44440 68020 72316 74822 76760 78760 84436 90395 105545 136040 144632 149644 168872 180790 187055 198869 211090 299288 343501 361580 374110 397738 422180 687002 723160 748220 795476 844360 994345 1374004 1496440 1590952 1717505 1988690 2748008 3435010 3778511 3977380 6870020 7557022 7954760 13740040 15114044 18892555 30228088 37785110 75570220 151140440