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146950980 = 223511534201
BaseRepresentation
bin10001100001001…
…00101101000100
3101020111212211220
420300210231010
5300104412410
622325400340
73433030341
oct1060445504
9336455756
10146950980
1175a4a4a0
12412690b0
13245a2157
14157337c8
15cd7b070
hex8c24b44

146950980 has 96 divisors (see below), whose sum is σ = 457446528. Its totient is φ = 34944000.

The previous prime is 146950967. The next prime is 146951017. The reversal of 146950980 is 89059641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32880 + ... + 37080.

It is an arithmetic number, because the mean of its divisors is an integer number (4765068).

Almost surely, 2146950980 is an apocalyptic number.

146950980 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 146950980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228723264).

146950980 is an abundant number, since it is smaller than the sum of its proper divisors (310495548).

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

146950980 is a wasteful number, since it uses less digits than its factorization.

146950980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 146950980 is about 12122.3339336945. Note that the first 3 decimals coincide. The cubic root of 146950980 is about 527.7045379769.

The spelling of 146950980 in words is "one hundred forty-six million, nine hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 4201 5830 6996 8402 8745 11660 12603 16804 17490 21005 25206 34980 42010 46211 50412 63015 84020 92422 126030 138633 184844 222653 231055 252060 277266 445306 462110 554532 667959 693165 890612 924220 1113265 1335918 1386330 2226530 2449183 2671836 2772660 3339795 4453060 4898366 6679590 7347549 9796732 12245915 13359180 14695098 24491830 29390196 36737745 48983660 73475490 146950980