Search a number
-
+
152244640 = 2553725717
BaseRepresentation
bin10010001001100…
…01000110100000
3101121110211101101
421010301012200
5302433312030
623035044144
73526025632
oct1104610640
9347424341
10152244640
1178a35719
1242ba0654
13257067b2
1416310a52
15d5747ca
hex91311a0

152244640 has 48 divisors (see below), whose sum is σ = 369413352. Its totient is φ = 59249664.

The previous prime is 152244637. The next prime is 152244643. The reversal of 152244640 is 46442251.

It is an interprime number because it is at equal distance from previous prime (152244637) and next prime (152244643).

It can be written as a sum of positive squares in 4 ways, for example, as 146991376 + 5253264 = 12124^2 + 2292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152244599 and 152244608.

It is not an unprimeable number, because it can be changed into a prime (152244643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6939 + ... + 18778.

Almost surely, 2152244640 is an apocalyptic number.

152244640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152244640 is an abundant number, since it is smaller than the sum of its proper divisors (217168712).

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

152244640 is a wasteful number, since it uses less digits than its factorization.

152244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25769 (or 25761 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 152244640 is about 12338.7454791806. The cubic root of 152244640 is about 533.9664910917.

Adding to 152244640 its reverse (46442251), we get a palindrome (198686891).

The spelling of 152244640 in words is "one hundred fifty-two million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 25717 51434 102868 128585 205736 257170 411472 514340 822944 951529 1028680 1903058 2057360 3806116 4114720 4757645 7612232 9515290 15224464 19030580 30448928 38061160 76122320 152244640