Search a number
-
+
253061004 = 223714920219
BaseRepresentation
bin11110001010101…
…10011110001100
3122122011211102210
433011112132030
51004240423004
641035550420
76161661120
oct1705263614
9578154383
10253061004
1111a934529
12708bb410
1340574a51
1425875580
151733b089
hexf15678c

253061004 has 48 divisors (see below), whose sum is σ = 679392000. Its totient is φ = 71814336.

The previous prime is 253060993. The next prime is 253061027. The reversal of 253061004 is 400160352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2407 + ... + 22625.

It is an arithmetic number, because the mean of its divisors is an integer number (14154000).

Almost surely, 2253061004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253061004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339696000).

253061004 is an abundant number, since it is smaller than the sum of its proper divisors (426330996).

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

253061004 is a wasteful number, since it uses less digits than its factorization.

253061004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20382 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253061004 is about 15907.8912493140. The cubic root of 253061004 is about 632.5211845404.

The spelling of 253061004 in words is "two hundred fifty-three million, sixty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 20219 40438 60657 80876 121314 141533 242628 283066 424599 566132 849198 1698396 3012631 6025262 9037893 12050524 18075786 21088417 36151572 42176834 63265251 84353668 126530502 253061004