Search a number
-
+
15916532940 = 223357111920147
BaseRepresentation
bin11101101001011001…
…10000010011001100
31112002020202122112000
432310230300103030
5230044113023230
611151214312300
71102266204060
oct166454602314
945066678460
1015916532940
116828516860
1231024b8690
1316686b0a39
14aadc45aa0
15632509b60
hex3b4b304cc

15916532940 has 384 divisors, whose sum is σ = 64989388800. Its totient is φ = 3133105920.

The previous prime is 15916532917. The next prime is 15916532941. The reversal of 15916532940 is 4923561951.

15916532940 is a `hidden beast` number, since 1 + 591 + 6 + 53 + 2 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15916532941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779947 + ... + 800093.

It is an arithmetic number, because the mean of its divisors is an integer number (169243200).

Almost surely, 215916532940 is an apocalyptic number.

15916532940 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 15916532940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32494694400).

15916532940 is an abundant number, since it is smaller than the sum of its proper divisors (49072855860).

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

15916532940 is a wasteful number, since it uses less digits than its factorization.

15916532940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 15916532940 in words is "fifteen billion, nine hundred sixteen million, five hundred thirty-two thousand, nine hundred forty".