Search a number
-
+
132960984 = 233133159233
BaseRepresentation
bin1111110110011…
…01001011011000
3100021012010011220
413323031023120
5233014222414
621105452040
73203102232
oct773151330
9307163156
10132960984
1169064612
1238641020
1321714450
1413931252
15ba15ca9
hex7ecd2d8

132960984 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 38753280.

The previous prime is 132960983. The next prime is 132961019. The reversal of 132960984 is 489069231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132960983) 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, 570532 + ... + 570764.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2132960984 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 132960984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

132960984 is an abundant number, since it is smaller than the sum of its proper divisors (244434216).

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

132960984 is a wasteful number, since it uses less digits than its factorization.

132960984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 132960984 is about 11530.8709124680. The cubic root of 132960984 is about 510.3969535462.

The spelling of 132960984 in words is "one hundred thirty-two million, nine hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 59 62 78 93 104 118 124 156 177 186 233 236 248 312 354 372 403 466 472 699 708 744 767 806 932 1209 1398 1416 1534 1612 1829 1864 2301 2418 2796 3029 3068 3224 3658 4602 4836 5487 5592 6058 6136 7223 7316 9087 9204 9672 10974 12116 13747 14446 14632 18174 18408 21669 21948 23777 24232 27494 28892 36348 41241 43338 43896 47554 54988 57784 71331 72696 82482 86676 93899 95108 109976 142662 164964 173352 178711 187798 190216 281697 285324 329928 357422 375596 426157 536133 563394 570648 714844 751192 852314 1072266 1126788 1278471 1429688 1704628 2144532 2253576 2556942 3409256 4289064 5113884 5540041 10227768 11080082 16620123 22160164 33240246 44320328 66480492 132960984