Search a number
-
+
146239984 = 241117371321
BaseRepresentation
bin10001011011101…
…11000111110000
3101012011202112201
420231313013300
5244414134414
622302232544
73424006432
oct1055670760
9335152481
10146239984
11756042a0
1240b85754
13243b3647
14155ca652
15cc8a574
hex8b771f0

146239984 has 80 divisors (see below), whose sum is σ = 336380256. Its totient is φ = 60825600.

The previous prime is 146239969. The next prime is 146239991. The reversal of 146239984 is 489932641.

It is a super-2 number, since 2×1462399842 = 42772265840640512, which contains 22 as substring.

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, 110044 + ... + 111364.

Almost surely, 2146239984 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 146239984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168190128).

146239984 is an abundant number, since it is smaller than the sum of its proper divisors (190140272).

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

146239984 is a wasteful number, since it uses less digits than its factorization.

146239984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 146239984 is about 12092.9725047236. The cubic root of 146239984 is about 526.8520937279.

The spelling of 146239984 in words is "one hundred forty-six million, two hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 592 629 748 814 1258 1321 1496 1628 2516 2642 2992 3256 5032 5284 6512 6919 10064 10568 13838 14531 21136 22457 27676 29062 44914 48877 55352 58124 89828 97754 110704 116248 179656 195508 232496 247027 359312 391016 494054 537647 782032 830909 988108 1075294 1661818 1976216 2150588 3323636 3952432 4301176 6647272 8602352 9139999 13294544 18279998 36559996 73119992 146239984