Search a number
-
+
1230642600 = 233521132367
BaseRepresentation
bin100100101011010…
…0001110110101000
310011202200010021120
41021112201312220
510010021030400
6322040535240
742332201205
oct11126416650
93152603246
101230642600
11581736000
122a4181520
13167c62ab5
14b9628cac
157308eca0
hex495a1da8

1230642600 has 384 divisors, whose sum is σ = 4444001280. Its totient is φ = 281107200.

The previous prime is 1230642587. The next prime is 1230642613. The reversal of 1230642600 is 62460321.

It is an interprime number because it is at equal distance from previous prime (1230642587) and next prime (1230642613).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18367767 + ... + 18367833.

It is an arithmetic number, because the mean of its divisors is an integer number (11572920).

Almost surely, 21230642600 is an apocalyptic number.

1230642600 is a gapful number since it is divisible by the number (10) 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 1230642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222000640).

1230642600 is an abundant number, since it is smaller than the sum of its proper divisors (3213358680).

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

1230642600 is a wasteful number, since it uses less digits than its factorization.

1230642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1230642600 is about 35080.5159597176. The cubic root of 1230642600 is about 1071.6278247839.

The spelling of 1230642600 in words is "one billion, two hundred thirty million, six hundred forty-two thousand, six hundred".