Search a number
-
+
93955420 = 225133111657
BaseRepresentation
bin1011001100110…
…10010101011100
320112210102121101
411212122111130
5143023033140
613153442444
72220415336
oct546322534
9215712541
1093955420
1149043109
1227570424
1316608430
14c69a456
1583ad99a
hex599a55c

93955420 has 48 divisors (see below), whose sum is σ = 219356928. Its totient is φ = 33569280.

The previous prime is 93955417. The next prime is 93955423. The reversal of 93955420 is 2455939.

It is an interprime number because it is at equal distance from previous prime (93955417) and next prime (93955423).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 93955420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93955423) 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, 2232 + ... + 13888.

It is an arithmetic number, because the mean of its divisors is an integer number (4569936).

Almost surely, 293955420 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 93955420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109678464).

93955420 is an abundant number, since it is smaller than the sum of its proper divisors (125401508).

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

93955420 is a wasteful number, since it uses less digits than its factorization.

93955420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11710 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 93955420 is about 9693.0604042273. The cubic root of 93955420 is about 454.6117043073.

The spelling of 93955420 in words is "ninety-three million, nine hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 11657 23314 46628 58285 116570 151541 233140 303082 361367 606164 722734 757705 1445468 1515410 1806835 3030820 3613670 4697771 7227340 9395542 18791084 23488855 46977710 93955420