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151641540 = 223253722769
BaseRepresentation
bin10010000100111…
…01110111000100
3101120100012002100
421002131313010
5302310012130
623014112100
73520634421
oct1102356704
9346305070
10151641540
1178663596
124294b630
132555512b
14161d4d48
15d4a5c60
hex909ddc4

151641540 has 72 divisors (see below), whose sum is σ = 472431960. Its totient is φ = 39343104.

The previous prime is 151641517. The next prime is 151641541. The reversal of 151641540 is 45146151.

151641540 is a `hidden beast` number, since 15 + 1 + 641 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7064964 + 144576576 = 2658^2 + 12024^2 .

It is not an unprimeable number, because it can be changed into a prime (151641541) 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 23 ways as a sum of consecutive naturals, for example, 4725 + ... + 18044.

It is an arithmetic number, because the mean of its divisors is an integer number (6561555).

Almost surely, 2151641540 is an apocalyptic number.

151641540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151641540 is an abundant number, since it is smaller than the sum of its proper divisors (320790420).

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

151641540 is a wasteful number, since it uses less digits than its factorization.

151641540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22821 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151641540 is about 12314.2819522699. The cubic root of 151641540 is about 533.2604752905.

Adding to 151641540 its reverse (45146151), we get a palindrome (196787691).

The spelling of 151641540 in words is "one hundred fifty-one million, six hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 22769 45538 68307 91076 113845 136614 204921 227690 273228 341535 409842 455380 683070 819684 842453 1024605 1366140 1684906 2049210 2527359 3369812 4098420 4212265 5054718 7582077 8424530 10109436 12636795 15164154 16849060 25273590 30328308 37910385 50547180 75820770 151641540