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58197930 = 2357431643
BaseRepresentation
bin1101111000000…
…0011110101010
311001111202112220
43132000132222
5104344313210
65435214510
71304450160
oct336003652
9131452486
1058197930
112a93aa6a
12175a7436
13c09895b
147a2d230
155198c70
hex37807aa

58197930 has 64 divisors (see below), whose sum is σ = 160247808. Its totient is φ = 13250880.

The previous prime is 58197899. The next prime is 58197941. The reversal of 58197930 is 3979185.

It is a happy number.

58197930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90189 + ... + 90831.

It is an arithmetic number, because the mean of its divisors is an integer number (2503872).

Almost surely, 258197930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58197930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80123904).

58197930 is an abundant number, since it is smaller than the sum of its proper divisors (102049878).

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

58197930 is a wasteful number, since it uses less digits than its factorization.

58197930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 58197930 is about 7628.7567794497. The cubic root of 58197930 is about 387.5274874709.

The spelling of 58197930 in words is "fifty-eight million, one hundred ninety-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 431 643 862 1286 1293 1929 2155 2586 3017 3215 3858 4310 4501 6034 6430 6465 9002 9051 9645 12930 13503 15085 18102 19290 22505 27006 30170 45010 45255 67515 90510 135030 277133 554266 831399 1385665 1662798 1939931 2771330 3879862 4156995 5819793 8313990 9699655 11639586 19399310 29098965 58197930