Search a number
-
+
98057960 = 235711133179
BaseRepresentation
bin1011101100000…
…11111011101000
320211111212020022
411312003323220
5200100323320
613421420012
72300323160
oct566037350
9224455208
1098057960
1150395440
1228a0a608
1317413880
14d0475a0
15891e325
hex5d83ee8

98057960 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 26956800.

The previous prime is 98057923. The next prime is 98057969. The reversal of 98057960 is 6975089.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (98057969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241201 + ... + 1241279.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 298057960 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 98057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

98057960 is an abundant number, since it is smaller than the sum of its proper divisors (211599640).

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

98057960 is a wasteful number, since it uses less digits than its factorization.

98057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 98057960 is about 9902.4219259735. The cubic root of 98057960 is about 461.1345027515.

The spelling of 98057960 in words is "ninety-eight million, fifty-seven thousand, nine hundred sixty".