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5970272 = 257112423
BaseRepresentation
bin10110110001100101100000
3102020022200012
4112301211200
53012022042
6331544052
7101514020
oct26614540
912208605
105970272
113408610
121bbb028
131310609
14b15a80
157cde82
hex5b1960

5970272 has 48 divisors (see below), whose sum is σ = 14660352. Its totient is φ = 2325120.

The previous prime is 5970241. The next prime is 5970277. The reversal of 5970272 is 2720795.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5970277) 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, 1253 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (305424).

Almost surely, 25970272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330176).

5970272 is an abundant number, since it is smaller than the sum of its proper divisors (8690080).

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

5970272 is a wasteful number, since it uses less digits than its factorization.

5970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 5970272 is about 2443.4140050348. The cubic root of 5970272 is about 181.4114547091.

Subtracting from 5970272 its sum of digits (32), we obtain a triangular number (5970240 = T3455).

The spelling of 5970272 in words is "five million, nine hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2423 2464 4846 9692 16961 19384 26653 33922 38768 53306 67844 77536 106612 135688 186571 213224 271376 373142 426448 542752 746284 852896 1492568 2985136 5970272