[go: up one dir, main page]

Search a number
-
+
145157376 = 2837133167
BaseRepresentation
bin10001010011011…
…10110100000000
3101010010202111010
420221232310000
5244130014001
622223120520
73411550230
oct1051566400
9333122433
10145157376
1174a34981
1240743140
13240c4950
14153c7cc0
15cb248d6
hex8a6ed00

145157376 has 288 divisors, whose sum is σ = 498147328. Its totient is φ = 36495360.

The previous prime is 145157323. The next prime is 145157417. The reversal of 145157376 is 673751541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166495 + ... + 2166561.

Almost surely, 2145157376 is an apocalyptic number.

145157376 is a gapful number since it is divisible by the number (16) 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 145157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249073664).

145157376 is an abundant number, since it is smaller than the sum of its proper divisors (352989952).

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

145157376 is a wasteful number, since it uses less digits than its factorization.

145157376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 145157376 is about 12048.1274893653. The cubic root of 145157376 is about 525.5487848830.

The spelling of 145157376 in words is "one hundred forty-five million, one hundred fifty-seven thousand, three hundred seventy-six".