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153154040 = 23513383769
BaseRepresentation
bin10010010000011…
…11000111111000
3101200012000211212
421020033013320
5303201412130
623110342252
73536534144
oct1110170770
9350160755
10153154040
11794a6996
124335a988
13259646c0
14164aa224
15d6a3e95
hex920f1f8

153154040 has 64 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 56328192.

The previous prime is 153154013. The next prime is 153154049. The reversal of 153154040 is 40451351.

It is a junction number, because it is equal to n+sod(n) for n = 153153997 and 153154015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153154049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 198776 + ... + 199544.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2153154040 is an apocalyptic number.

153154040 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 153154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

153154040 is an abundant number, since it is smaller than the sum of its proper divisors (219402760).

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

153154040 is a wasteful number, since it uses less digits than its factorization.

153154040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 153154040 is about 12375.5420083324. The cubic root of 153154040 is about 535.0275584837.

The spelling of 153154040 in words is "one hundred fifty-three million, one hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 383 520 766 769 1532 1538 1915 3064 3076 3830 3845 4979 6152 7660 7690 9958 9997 15320 15380 19916 19994 24895 30760 39832 39988 49790 49985 79976 99580 99970 199160 199940 294527 399880 589054 1178108 1472635 2356216 2945270 3828851 5890540 7657702 11781080 15315404 19144255 30630808 38288510 76577020 153154040