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3058920 = 2332529293
BaseRepresentation
bin1011101010110011101000
312202102001100
423222303220
51240341140
6145321400
735000064
oct13526350
95672040
103058920
1117aa237
121036260
13831417
14598aa4
15406530
hex2eace8

3058920 has 96 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 784896.

The previous prime is 3058907. The next prime is 3058921. The reversal of 3058920 is 298503.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 93636 = 1722^2 + 306^2 .

It is not an unprimeable number, because it can be changed into a prime (3058921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10294 + ... + 10586.

Almost surely, 23058920 is an apocalyptic number.

3058920 is a gapful number since it is divisible by the number (30) 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 3058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

3058920 is an abundant number, since it is smaller than the sum of its proper divisors (7260480).

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

3058920 is a wasteful number, since it uses less digits than its factorization.

3058920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

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

The square root of 3058920 is about 1748.9768437575. The cubic root of 3058920 is about 145.1630350089.

The spelling of 3058920 in words is "three million, fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 293 348 360 435 522 580 586 696 870 879 1044 1160 1172 1305 1465 1740 1758 2088 2344 2610 2637 2930 3480 3516 4395 5220 5274 5860 7032 8497 8790 10440 10548 11720 13185 16994 17580 21096 25491 26370 33988 35160 42485 50982 52740 67976 76473 84970 101964 105480 127455 152946 169940 203928 254910 305892 339880 382365 509820 611784 764730 1019640 1529460 3058920