Search a number
-
+
1336151040 = 21035717243
BaseRepresentation
bin100111110100100…
…0000110000000000
310110010012111122120
41033221000300000
510214023313130
6340330204240
745053045040
oct11751006000
93403174576
101336151040
1162624a064
12313583680
13183a84923
14c9651720
157c481910
hex4fa40c00

1336151040 has 528 divisors, whose sum is σ = 5308968192. Its totient is φ = 280756224.

The previous prime is 1336151027. The next prime is 1336151053. The reversal of 1336151040 is 401516331.

It is an interprime number because it is at equal distance from previous prime (1336151027) and next prime (1336151053).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1336151040.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31073259 + ... + 31073301.

It is an arithmetic number, because the mean of its divisors is an integer number (10054864).

Almost surely, 21336151040 is an apocalyptic number.

1336151040 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 1336151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654484096).

1336151040 is an abundant number, since it is smaller than the sum of its proper divisors (3972817152).

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

1336151040 is a wasteful number, since it uses less digits than its factorization.

1336151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1336151040 is about 36553.3998418752. The cubic root of 1336151040 is about 1101.4171926496.

Adding to 1336151040 its reverse (401516331), we get a palindrome (1737667371).

The spelling of 1336151040 in words is "one billion, three hundred thirty-six million, one hundred fifty-one thousand, forty".