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58934970 = 23252371401
BaseRepresentation
bin1110000011010…
…0011010111010
311002220012120200
43200310122322
5110041404340
65503103030
71313640033
oct340643272
9132805520
1058934970
11302a3796
12178a1a76
13c296283
147b81a8a
155292330
hex38346ba

58934970 has 96 divisors (see below), whose sum is σ = 162549504. Its totient is φ = 14784000.

The previous prime is 58934963. The next prime is 58934977. The reversal of 58934970 is 7943985.

58934970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58934963) and next prime (58934977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58934977) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 146770 + ... + 147170.

It is an arithmetic number, because the mean of its divisors is an integer number (1693224).

Almost surely, 258934970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58934970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81274752).

58934970 is an abundant number, since it is smaller than the sum of its proper divisors (103614534).

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

58934970 is a wasteful number, since it uses less digits than its factorization.

58934970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 58934970 is about 7676.9114883526. The cubic root of 58934970 is about 389.1565598779.

It can be divided in two parts, 58 and 934970, that added together give a triangular number (935028 = T1367).

The spelling of 58934970 in words is "fifty-eight million, nine hundred thirty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 207 213 230 345 355 401 414 426 639 690 710 802 1035 1065 1203 1278 1633 2005 2070 2130 2406 3195 3266 3609 4010 4899 6015 6390 7218 8165 9223 9798 12030 14697 16330 18045 18446 24495 27669 28471 29394 36090 46115 48990 55338 56942 73485 83007 85413 92230 138345 142355 146970 166014 170826 256239 276690 284710 415035 427065 512478 654833 830070 854130 1281195 1309666 1964499 2562390 3274165 3928998 5893497 6548330 9822495 11786994 19644990 29467485 58934970