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148216080 = 24353716691
BaseRepresentation
bin10001101010110…
…01100100010000
3101022220011020110
420311121210100
5300420403310
622412441320
73446546565
oct1065314420
9338804213
10148216080
1176733a31
1241779240
1324925c2c
141598286c
15d02ad20
hex8d59910

148216080 has 80 divisors (see below), whose sum is σ = 471916224. Its totient is φ = 38453760.

The previous prime is 148216067. The next prime is 148216091. The reversal of 148216080 is 80612841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 535 + ... + 17225.

Almost surely, 2148216080 is an apocalyptic number.

148216080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148216080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235958112).

148216080 is an abundant number, since it is smaller than the sum of its proper divisors (323700144).

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

148216080 is a wasteful number, since it uses less digits than its factorization.

148216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16744 (or 16738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 148216080 is about 12174.4026547507. The cubic root of 148216080 is about 529.2145479507.

The spelling of 148216080 in words is "one hundred forty-eight million, two hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 16691 33382 50073 66764 83455 100146 133528 166910 200292 250365 267056 333820 400584 500730 617567 667640 801168 1001460 1235134 1335280 1852701 2002920 2470268 3087835 3705402 4005840 4940536 6175670 7410804 9263505 9881072 12351340 14821608 18527010 24702680 29643216 37054020 49405360 74108040 148216080