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5980032 = 273229179
BaseRepresentation
bin10110110011111110000000
3102020211001200
4112303332000
53012330112
6332101200
7101554332
oct26637600
912224050
105980032
113414983
122004800
131314ba6
14b19452
157d1cdc
hex5b3f80

5980032 has 96 divisors (see below), whose sum is σ = 17901000. Its totient is φ = 1913856.

The previous prime is 5980031. The next prime is 5980033. The reversal of 5980032 is 2300895.

It is an interprime number because it is at equal distance from previous prime (5980031) and next prime (5980033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5979978 and 5980005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5980031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33319 + ... + 33497.

Almost surely, 25980032 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 5980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950500).

5980032 is an abundant number, since it is smaller than the sum of its proper divisors (11920968).

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

5980032 is a wasteful number, since it uses less digits than its factorization.

5980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5980032 is about 2445.4103950053. The cubic root of 5980032 is about 181.5102560058.

The spelling of 5980032 in words is "five million, nine hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 179 192 232 261 288 348 358 384 464 522 537 576 696 716 928 1044 1074 1152 1392 1432 1611 1856 2088 2148 2784 2864 3222 3712 4176 4296 5191 5568 5728 6444 8352 8592 10382 11136 11456 12888 15573 16704 17184 20764 22912 25776 31146 33408 34368 41528 46719 51552 62292 68736 83056 93438 103104 124584 166112 186876 206208 249168 332224 373752 498336 664448 747504 996672 1495008 1993344 2990016 5980032