Search a number
-
+
98149680 = 24325136319
BaseRepresentation
bin1011101100110…
…10010100110000
320211200112001100
411312122110300
5200111242210
613423404400
72301154446
oct566322460
9224615040
1098149680
1150448342
1228a53700
1317446545
14d06cb96
15893b5c0
hex5d9a530

98149680 has 60 divisors (see below), whose sum is σ = 329621760. Its totient is φ = 26173056.

The previous prime is 98149669. The next prime is 98149697. The reversal of 98149680 is 8694189.

98149680 is a `hidden beast` number, since 9 + 81 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 67440 + ... + 68879.

It is an arithmetic number, because the mean of its divisors is an integer number (5493696).

Almost surely, 298149680 is an apocalyptic number.

98149680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98149680 is an abundant number, since it is smaller than the sum of its proper divisors (231472080).

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

98149680 is a wasteful number, since it uses less digits than its factorization.

98149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136338 (or 136329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 98149680 is about 9907.0520337788. The cubic root of 98149680 is about 461.2782343305.

The spelling of 98149680 in words is "ninety-eight million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 136319 272638 408957 545276 681595 817914 1090552 1226871 1363190 1635828 2044785 2181104 2453742 2726380 3271656 4089570 4907484 5452760 6134355 6543312 8179140 9814968 10905520 12268710 16358280 19629936 24537420 32716560 49074840 98149680