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146228160 = 26351311717
BaseRepresentation
bin10001011011101…
…00001111000000
3101012011011022210
420231310033000
5244413300120
622302102120
73423630111
oct1055641700
9335134283
10146228160
11755a6421
1240b7a940
13243ab150
14155c6208
15cc86ce0
hex8b743c0

146228160 has 112 divisors (see below), whose sum is σ = 500030496. Its totient is φ = 35991552.

The previous prime is 146228149. The next prime is 146228177. The reversal of 146228160 is 61822641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6622 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (4464558).

Almost surely, 2146228160 is an apocalyptic number.

146228160 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 146228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015248).

146228160 is an abundant number, since it is smaller than the sum of its proper divisors (353802336).

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

146228160 is a wasteful number, since it uses less digits than its factorization.

146228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 146228160 is about 12092.4836158665. The cubic root of 146228160 is about 526.8378940841.

The spelling of 146228160 in words is "one hundred forty-six million, two hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 11717 12480 23434 35151 46868 58585 70302 93736 117170 140604 152321 175755 187472 234340 281208 304642 351510 374944 456963 468680 562416 609284 703020 749888 761605 913926 937360 1124832 1218568 1406040 1523210 1827852 1874720 2249664 2284815 2437136 2812080 3046420 3655704 3749440 4569630 4874272 5624160 6092840 7311408 9139260 9748544 11248320 12185680 14622816 18278520 24371360 29245632 36557040 48742720 73114080 146228160