Search a number
-
+
152112640 = 29559419
BaseRepresentation
bin10010001000100…
…00111000000000
3101121020010022111
421010100320000
5302420101030
623032145104
73524636041
oct1104207000
9347203274
10152112640
1178955529
1242b38194
132568b6a4
14162b88c8
15d54a62a
hex9110e00

152112640 has 40 divisors (see below), whose sum is σ = 364719960. Its totient is φ = 60844032.

The previous prime is 152112619. The next prime is 152112647. The reversal of 152112640 is 46211251.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152112647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27150 + ... + 32269.

It is an arithmetic number, because the mean of its divisors is an integer number (9117999).

Almost surely, 2152112640 is an apocalyptic number.

152112640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152112640 is an abundant number, since it is smaller than the sum of its proper divisors (212607320).

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

152112640 is an frugal number, since it uses more digits than its factorization.

152112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59442 (or 59426 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 152112640 is about 12333.3953151596. The cubic root of 152112640 is about 533.8121255981.

Adding to 152112640 its reverse (46211251), we get a palindrome (198323891).

It can be divided in two parts, 1521 and 12640, that added together give a square (14161 = 1192).

The spelling of 152112640 in words is "one hundred fifty-two million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 59419 118838 237676 297095 475352 594190 950704 1188380 1901408 2376760 3802816 4753520 7605632 9507040 15211264 19014080 30422528 38028160 76056320 152112640