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152540440 = 235132331259
BaseRepresentation
bin10010001011110…
…01010100011000
3101122000212010221
421011321110120
5303022243230
623045245424
73531400213
oct1105712430
9348025127
10152540440
1179117988
1243103874
13257ab320
141638a77a
15d5d227a
hex9179518

152540440 has 64 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 56036352.

The previous prime is 152540387. The next prime is 152540467. The reversal of 152540440 is 44045251.

It is a happy number.

152540440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120531 + ... + 121789.

Almost surely, 2152540440 is an apocalyptic number.

152540440 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 152540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

152540440 is an abundant number, since it is smaller than the sum of its proper divisors (218957960).

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

152540440 is a wasteful number, since it uses less digits than its factorization.

152540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 152540440 is about 12350.7262944331. The cubic root of 152540440 is about 534.3120864113.

Adding to 152540440 its reverse (44045251), we get a palindrome (196585691).

The spelling of 152540440 in words is "one hundred fifty-two million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1259 1864 2330 2518 3029 4660 5036 6058 6295 9320 10072 12116 12590 15145 16367 24232 25180 30290 32734 50360 60580 65468 81835 121160 130936 163670 293347 327340 586694 654680 1173388 1466735 2346776 2933470 3813511 5866940 7627022 11733880 15254044 19067555 30508088 38135110 76270220 152540440