[go: up one dir, main page]

Search a number
-
+
393007140 = 22345416197
BaseRepresentation
bin10111011011001…
…101000000100100
31000101111211110000
4113123031000210
51301102212030
6102555301300
712511335261
oct2733150044
91011454400
10393007140
1119192a099
12ab74a830
1363563706
143a2a4268
1524781860
hex176cd024

393007140 has 240 divisors, whose sum is σ = 1296885744. Its totient is φ = 99532800.

The previous prime is 393007133. The next prime is 393007151. The reversal of 393007140 is 41700393.

It can be written as a sum of positive squares in 8 ways, for example, as 155600676 + 237406464 = 12474^2 + 15408^2 .

It is a super-2 number, since 2×3930071402 = 308909224181959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4051572 + ... + 4051668.

Almost surely, 2393007140 is an apocalyptic number.

393007140 is a gapful number since it is divisible by the number (30) 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 393007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648442872).

393007140 is an abundant number, since it is smaller than the sum of its proper divisors (903878604).

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

393007140 is a wasteful number, since it uses less digits than its factorization.

393007140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 393007140 is about 19824.4076834593. The cubic root of 393007140 is about 732.4873803384.

The spelling of 393007140 in words is "three hundred ninety-three million, seven thousand, one hundred forty".