Search a number
-
+
153050280 = 23352322411
BaseRepresentation
bin10010001111101…
…01110010101000
3101122222202111220
421013311302220
5303140102110
623104222040
73535622505
oct1107656250
9348882456
10153050280
1179435a39
124330a920
13259293c6
14164804ac
15d683370
hex91f5ca8

153050280 has 96 divisors (see below), whose sum is σ = 480180960. Its totient is φ = 39022720.

The previous prime is 153050243. The next prime is 153050291. The reversal of 153050280 is 82050351.

153050280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153050280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62275 + ... + 64685.

It is an arithmetic number, because the mean of its divisors is an integer number (5001885).

Almost surely, 2153050280 is an apocalyptic number.

153050280 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 153050280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240090480).

153050280 is an abundant number, since it is smaller than the sum of its proper divisors (327130680).

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

153050280 is a wasteful number, since it uses less digits than its factorization.

153050280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 153050280 is about 12371.3491584386. The cubic root of 153050280 is about 534.9067062991.

The spelling of 153050280 in words is "one hundred fifty-three million, fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2411 2645 2760 3174 4232 4822 5290 6348 7233 7935 9644 10580 12055 12696 14466 15870 19288 21160 24110 28932 31740 36165 48220 55453 57864 63480 72330 96440 110906 144660 166359 221812 277265 289320 332718 443624 554530 665436 831795 1109060 1275419 1330872 1663590 2218120 2550838 3327180 3826257 5101676 6377095 6654360 7652514 10203352 12754190 15305028 19131285 25508380 30610056 38262570 51016760 76525140 153050280