Search a number
-
+
75630270 = 23567191197
BaseRepresentation
bin1001000001000…
…00011010111110
312021022102020010
410200200122332
5123330132040
611301004050
71605563262
oct440403276
9167272203
1075630270
1139767161
12213b3626
1312890451
14a08a0a2
15698de80
hex48206be

75630270 has 64 divisors (see below), whose sum is σ = 186126336. Its totient is φ = 19662720.

The previous prime is 75630253. The next prime is 75630287. The reversal of 75630270 is 7203657.

It is an interprime number because it is at equal distance from previous prime (75630253) and next prime (75630287).

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

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, 383812 + ... + 384008.

It is an arithmetic number, because the mean of its divisors is an integer number (2908224).

Almost surely, 275630270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75630270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93063168).

75630270 is an abundant number, since it is smaller than the sum of its proper divisors (110496066).

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

75630270 is a wasteful number, since it uses less digits than its factorization.

75630270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

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

The square root of 75630270 is about 8696.5665638803. The cubic root of 75630270 is about 422.8943507143.

The spelling of 75630270 in words is "seventy-five million, six hundred thirty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 67 134 191 197 201 335 382 394 402 573 591 670 955 985 1005 1146 1182 1910 1970 2010 2865 2955 5730 5910 12797 13199 25594 26398 37627 38391 39597 63985 65995 75254 76782 79194 112881 127970 131990 188135 191955 197985 225762 376270 383910 395970 564405 1128810 2521009 5042018 7563027 12605045 15126054 25210090 37815135 75630270