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58790040 = 23353713241
BaseRepresentation
bin1110000001000…
…1000010011000
311002121211202220
43200101002120
5110022240130
65500024040
71312464351
oct340210230
9132554686
1058790040
1130204911
1217832020
13c24530a
147b44d28
155264410
hex3811098

58790040 has 64 divisors (see below), whose sum is σ = 181150560. Its totient is φ = 15252480.

The previous prime is 58790033. The next prime is 58790041. The reversal of 58790040 is 4009785.

It is a junction number, because it is equal to n+sod(n) for n = 58789983 and 58790010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58790041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 11060.

Almost surely, 258790040 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 58790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90575280).

58790040 is an abundant number, since it is smaller than the sum of its proper divisors (122360520).

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

58790040 is a wasteful number, since it uses less digits than its factorization.

58790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 58790040 is about 7667.4663351071. The cubic root of 58790040 is about 388.8372997628.

The spelling of 58790040 in words is "fifty-eight million, seven hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 13241 26482 39723 52964 66205 79446 105928 132410 158892 198615 264820 317784 397230 489917 529640 794460 979834 1469751 1588920 1959668 2449585 2939502 3919336 4899170 5879004 7348755 9798340 11758008 14697510 19596680 29395020 58790040