Search a number
-
+
131034440 = 23514872203
BaseRepresentation
bin1111100111101…
…10110101001000
3100010120020110102
413303312311020
5232021100230
621000304532
73150526415
oct763666510
9303506412
10131034440
1167a69129
1237a72148
13211bb594
141358d10c
15b785045
hex7cf6d48

131034440 has 32 divisors (see below), whose sum is σ = 295159680. Its totient is φ = 52354752.

The previous prime is 131034389. The next prime is 131034451. The reversal of 131034440 is 44430131.

It is a happy number.

It is a super-2 number, since 2×1310344402 = 34340048932227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58379 + ... + 60581.

It is an arithmetic number, because the mean of its divisors is an integer number (9223740).

Almost surely, 2131034440 is an apocalyptic number.

131034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034440 is an abundant number, since it is smaller than the sum of its proper divisors (164125240).

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

131034440 is a wasteful number, since it uses less digits than its factorization.

131034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131034440 is about 11447.0275617734. The cubic root of 131034440 is about 507.9198108489.

Adding to 131034440 its reverse (44430131), we get a palindrome (175464571).

The spelling of 131034440 in words is "one hundred thirty-one million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1487 2203 2974 4406 5948 7435 8812 11015 11896 14870 17624 22030 29740 44060 59480 88120 3275861 6551722 13103444 16379305 26206888 32758610 65517220 131034440