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147253340 = 225133715307
BaseRepresentation
bin10001100011011…
…10100001011100
3101021002020121102
420301232201130
5300144101330
622340052232
73435430013
oct1061564134
9337066542
10147253340
1176136683
1241394078
1324679970
14157b1a7a
15cdda945
hex8c6e85c

147253340 has 48 divisors (see below), whose sum is σ = 342041952. Its totient is φ = 52897536.

The previous prime is 147253339. The next prime is 147253343. The reversal of 147253340 is 43352741.

It is a happy number.

It is a super-2 number, since 2×1472533402 = 43367092282311200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147253343) 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, 1967 + ... + 17273.

It is an arithmetic number, because the mean of its divisors is an integer number (7125874).

Almost surely, 2147253340 is an apocalyptic number.

147253340 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 147253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171020976).

147253340 is an abundant number, since it is smaller than the sum of its proper divisors (194788612).

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

147253340 is a wasteful number, since it uses less digits than its factorization.

147253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 147253340 is about 12134.7987210337. The cubic root of 147253340 is about 528.0662173992.

The spelling of 147253340 in words is "one hundred forty-seven million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 15307 30614 61228 76535 153070 198991 306140 397982 566359 795964 994955 1132718 1989910 2265436 2831795 3979820 5663590 7362667 11327180 14725334 29450668 36813335 73626670 147253340