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270725004 = 223411372053
BaseRepresentation
bin10000001000101…
…110111110001100
3200212102020220000
4100020232332030
51023301200004
642510324300
76465060504
oct2010567614
9625366800
10270725004
111298a9780
12767b9690
134411ab14
1427d52a04
1518b79c39
hex1022ef8c

270725004 has 120 divisors (see below), whose sum is σ = 793320528. Its totient is φ = 79781760.

The previous prime is 270725003. The next prime is 270725057. The reversal of 270725004 is 400527072.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (270725003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 130842 + ... + 132894.

Almost surely, 2270725004 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 270725004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396660264).

270725004 is an abundant number, since it is smaller than the sum of its proper divisors (522595524).

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

270725004 is a wasteful number, since it uses less digits than its factorization.

270725004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 270725004 is about 16453.7231045135. The cubic root of 270725004 is about 646.9083987797.

The spelling of 270725004 in words is "two hundred seventy million, seven hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 132 148 162 198 222 297 324 333 396 407 444 594 666 814 891 999 1188 1221 1332 1628 1782 1998 2053 2442 2997 3564 3663 3996 4106 4884 5994 6159 7326 8212 10989 11988 12318 14652 18477 21978 22583 24636 32967 36954 43956 45166 55431 65934 67749 73908 75961 90332 110862 131868 135498 151922 166293 203247 221724 227883 270996 303844 332586 406494 455766 609741 665172 683649 812988 835571 911532 1219482 1367298 1671142 1829223 2050947 2438964 2506713 2734596 3342284 3658446 4101894 5013426 6152841 7316892 7520139 8203788 10026852 12305682 15040278 22560417 24611364 30080556 45120834 67681251 90241668 135362502 270725004