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131151040 = 2652331759
BaseRepresentation
bin1111101000100…
…11010011000000
3100010210011101221
413310103103000
5232033313130
621003004424
73151523356
oct764232300
9303704357
10131151040
1168038799
1237b09714
132122c687
14135bd7d6
15b7a987a
hex7d134c0

131151040 has 56 divisors (see below), whose sum is σ = 313822080. Its totient is φ = 52205568.

The previous prime is 131151017. The next prime is 131151047. The reversal of 131151040 is 40151131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131151047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73681 + ... + 75439.

Almost surely, 2131151040 is an apocalyptic number.

131151040 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 131151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

131151040 is an abundant number, since it is smaller than the sum of its proper divisors (182671040).

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

131151040 is a wasteful number, since it uses less digits than its factorization.

131151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 131151040 is about 11452.1194544940. The cubic root of 131151040 is about 508.0704223780.

Subtracting from 131151040 its reverse (40151131), we obtain a palindrome (90999909).

The spelling of 131151040 in words is "one hundred thirty-one million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 466 932 1165 1759 1864 2330 3518 3728 4660 7036 7456 8795 9320 14072 14912 17590 18640 28144 35180 37280 56288 70360 74560 112576 140720 281440 409847 562880 819694 1639388 2049235 3278776 4098470 6557552 8196940 13115104 16393880 26230208 32787760 65575520 131151040