Search a number
-
+
58988970 = 23253121143
BaseRepresentation
bin1110000100000…
…1100110101010
311002222221122200
43201001212222
5110100121340
65504201030
71314253335
oct341014652
9132887580
1058988970
1130330317
1217909176
13c2b4a21
147b9761c
1552a3330
hex38419aa

58988970 has 48 divisors (see below), whose sum is σ = 158326272. Its totient is φ = 15222240.

The previous prime is 58988957. The next prime is 58988971. The reversal of 58988970 is 7988985.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (58988971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7782 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (3298464).

Almost surely, 258988970 is an apocalyptic number.

58988970 is an abundant number, since it is smaller than the sum of its proper divisors (99337302).

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

58988970 is a wasteful number, since it uses less digits than its factorization.

58988970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21187 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 58988970 is about 7680.4277224644. The cubic root of 58988970 is about 389.2753803294.

The spelling of 58988970 in words is "fifty-eight million, nine hundred eighty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 21143 42286 63429 105715 126858 190287 211430 317145 380574 634290 655433 951435 1310866 1902870 1966299 3277165 3932598 5898897 6554330 9831495 11797794 19662990 29494485 58988970