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131494440 = 2335721119107
BaseRepresentation
bin1111101011001…
…11001000101000
3100011102121110110
413311213020220
5232130310230
621014214320
73154453500
oct765471050
9304377413
10131494440
11682527a0
12380543a0
132131ca7c
141366ca00
15b8264b0
hex7d67228

131494440 has 384 divisors, whose sum is σ = 531878400. Its totient is φ = 25643520.

The previous prime is 131494409. The next prime is 131494469. The reversal of 131494440 is 44494131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131494398 and 131494407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228867 + ... + 1228973.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2131494440 is an apocalyptic number.

131494440 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 131494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

131494440 is an abundant number, since it is smaller than the sum of its proper divisors (400383960).

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

131494440 is a wasteful number, since it uses less digits than its factorization.

131494440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 131494440 is about 11467.1025110967. The cubic root of 131494440 is about 508.5134721831.

The spelling of 131494440 in words is "one hundred thirty-one million, four hundred ninety-four thousand, four hundred forty".