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146623380 = 223519413137
BaseRepresentation
bin10001011110101…
…00101110010100
3101012220020110120
420233110232110
5300013422010
622314351540
73430164261
oct1057245624
9335806416
10146623380
1175846352
124112b5b0
13244b8cc7
141568a268
15cd13e70
hex8bd4b94

146623380 has 96 divisors (see below), whose sum is σ = 442834560. Its totient is φ = 36126720.

The previous prime is 146623369. The next prime is 146623381. The reversal of 146623380 is 83326641.

146623380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146623381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45172 + ... + 48308.

It is an arithmetic number, because the mean of its divisors is an integer number (4612860).

Almost surely, 2146623380 is an apocalyptic number.

146623380 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 146623380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221417280).

146623380 is an abundant number, since it is smaller than the sum of its proper divisors (296211180).

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

146623380 is a wasteful number, since it uses less digits than its factorization.

146623380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 146623380 is about 12108.8141450763. The cubic root of 146623380 is about 527.3121063624.

The spelling of 146623380 in words is "one hundred forty-six million, six hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3137 3895 4674 6274 7790 9348 9411 11685 12548 15580 15685 18822 23370 31370 37644 46740 47055 59603 62740 94110 119206 128617 178809 188220 238412 257234 298015 357618 385851 514468 596030 643085 715236 771702 894045 1192060 1286170 1543404 1788090 1929255 2443723 2572340 3576180 3858510 4887446 7331169 7717020 9774892 12218615 14662338 24437230 29324676 36655845 48874460 73311690 146623380