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151402400 = 2552189253
BaseRepresentation
bin10010000011000…
…11011110100000
3101112220001001022
421001203132200
5302224334100
623005025012
73515620262
oct1101433640
9345801038
10151402400
117850a956
1242855168
13254a0326
1416171b32
15d459e85
hex90637a0

151402400 has 36 divisors (see below), whose sum is σ = 369613062. Its totient is φ = 60560640.

The previous prime is 151402373. The next prime is 151402421. The reversal of 151402400 is 4204151.

It can be written as a sum of positive squares in 3 ways, for example, as 142945936 + 8456464 = 11956^2 + 2908^2 .

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 5 ways as a sum of consecutive naturals, for example, 93827 + ... + 95426.

Almost surely, 2151402400 is an apocalyptic number.

151402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151402400 is an abundant number, since it is smaller than the sum of its proper divisors (218210662).

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

151402400 is a wasteful number, since it uses less digits than its factorization.

151402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189273 (or 189260 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 151402400 is about 12304.5682573587. The cubic root of 151402400 is about 532.9800090359.

Adding to 151402400 its reverse (4204151), we get a palindrome (155606551).

The spelling of 151402400 in words is "one hundred fifty-one million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 189253 378506 757012 946265 1514024 1892530 3028048 3785060 4731325 6056096 7570120 9462650 15140240 18925300 30280480 37850600 75701200 151402400