Search a number
-
+
257123730 = 23537231643
BaseRepresentation
bin11110101001101…
…10010110010010
3122220211020110010
433110312112102
51011310424410
641303015350
76241341603
oct1724662622
9586736403
10257123730
11122159956
127213a556
1341368026
1426211daa
151788ec20
hexf536592

257123730 has 32 divisors (see below), whose sum is σ = 633777984. Its totient is φ = 66712896.

The previous prime is 257123717. The next prime is 257123743. The reversal of 257123730 is 37321752.

257123730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257123717) and next prime (257123743).

It is a super-2 number, since 2×2571237302 = 132225225058225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 114712 + ... + 116931.

It is an arithmetic number, because the mean of its divisors is an integer number (19805562).

Almost surely, 2257123730 is an apocalyptic number.

257123730 is an abundant number, since it is smaller than the sum of its proper divisors (376654254).

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

257123730 is a wasteful number, since it uses less digits than its factorization.

257123730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231690.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 257123730 is about 16035.0781101933. The cubic root of 257123730 is about 635.8881324941. Note that the first 3 decimals are identical.

The spelling of 257123730 in words is "two hundred fifty-seven million, one hundred twenty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 231643 463286 694929 1158215 1389858 2316430 3474645 6949290 8570791 17141582 25712373 42853955 51424746 85707910 128561865 257123730