Search a number
-
+
151401440 = 2551376907
BaseRepresentation
bin10010000011000…
…11001111100000
3101112212222201202
421001203033200
5302224321230
623005020332
73515614421
oct1101431740
9345788652
10151401440
117850a163
12428546a8
132549ca68
1416171648
15d459a45
hex90633e0

151401440 has 48 divisors (see below), whose sum is σ = 360348912. Its totient is φ = 60109824.

The previous prime is 151401421. The next prime is 151401449. The reversal of 151401440 is 44104151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151401449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18467 + ... + 25373.

It is an arithmetic number, because the mean of its divisors is an integer number (7507269).

Almost surely, 2151401440 is an apocalyptic number.

151401440 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 151401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180174456).

151401440 is an abundant number, since it is smaller than the sum of its proper divisors (208947472).

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

151401440 is a wasteful number, since it uses less digits than its factorization.

151401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 151401440 is about 12304.5292473950. The cubic root of 151401440 is about 532.9788825414.

Adding to 151401440 its reverse (44104151), we get a palindrome (195505591).

The spelling of 151401440 in words is "one hundred fifty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 6907 10960 13814 21920 27628 34535 55256 69070 110512 138140 221024 276280 552560 946259 1105120 1892518 3785036 4731295 7570072 9462590 15140144 18925180 30280288 37850360 75700720 151401440