Search a number
-
+
132150928 = 247131719281
BaseRepresentation
bin1111110000001…
…11011010010000
3100012122221222211
413320013122100
5232312312203
621040241504
73163156450
oct770073220
9305587884
10132150928
1168660a48
1238310294
13214bc820
141379dd60
15b905c6d
hex7e07690

132150928 has 160 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 46448640.

The previous prime is 132150919. The next prime is 132150937. The reversal of 132150928 is 829051231.

It is an interprime number because it is at equal distance from previous prime (132150919) and next prime (132150937).

It is a super-2 number, since 2×1321509282 = 34927735542522368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132150928.

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 31 ways as a sum of consecutive naturals, for example, 470148 + ... + 470428.

It is an arithmetic number, because the mean of its divisors is an integer number (2202984).

Almost surely, 2132150928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

132150928 is an abundant number, since it is smaller than the sum of its proper divisors (220326512).

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

132150928 is a wasteful number, since it uses less digits than its factorization.

132150928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 132150928 is about 11495.6917147251. The cubic root of 132150928 is about 509.3583215235.

The spelling of 132150928 in words is "one hundred thirty-two million, one hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 19 26 28 34 38 52 56 68 76 91 104 112 119 133 136 152 182 208 221 238 247 266 272 281 304 323 364 442 476 494 532 562 646 728 884 952 988 1064 1124 1292 1456 1547 1729 1768 1904 1967 1976 2128 2248 2261 2584 3094 3458 3536 3653 3934 3952 4199 4496 4522 4777 5168 5339 6188 6916 7306 7868 8398 9044 9554 10678 12376 13832 14612 15736 16796 18088 19108 21356 24752 25571 27664 29224 29393 31472 33439 33592 36176 37373 38216 42712 51142 58448 58786 62101 66878 67184 69407 74746 76432 85424 90763 102284 117572 124202 133756 138814 149492 181526 204568 235144 248404 267512 277628 298984 363052 409136 434707 470288 485849 496808 535024 555256 597968 635341 726104 869414 971698 993616 1110512 1179919 1270682 1452208 1738828 1943396 2359838 2541364 3477656 3886792 4719676 5082728 6955312 7773584 8259433 9439352 10165456 16518866 18878704 33037732 66075464 132150928