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1530313152 = 26327129411
BaseRepresentation
bin101101100110110…
…1011100111000000
310221122112221222220
41123031223213000
511113230010102
6411503531040
752631306244
oct13315534700
93848487886
101530313152
11715904a15
123685b9a80
131b5076954
14107354424
158e5361bc
hex5b36b9c0

1530313152 has 56 divisors (see below), whose sum is σ = 4064032512. Its totient is φ = 508204800.

The previous prime is 1530313097. The next prime is 1530313177. The reversal of 1530313152 is 2513130351.

1530313152 is digitally balanced in base 4, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37327 + ... + 66737.

Almost surely, 21530313152 is an apocalyptic number.

1530313152 is a gapful number since it is divisible by the number (12) 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 1530313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032016256).

1530313152 is an abundant number, since it is smaller than the sum of its proper divisors (2533719360).

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

1530313152 is a wasteful number, since it uses less digits than its factorization.

1530313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697 (or 29687 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1530313152 is about 39119.2171700815. The cubic root of 1530313152 is about 1152.3739623103.

The spelling of 1530313152 in words is "one billion, five hundred thirty million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 29411 52032 58822 88233 117644 176466 235288 352932 470576 705864 941152 1411728 1882304 2823456 5646912 7970381 15940762 23911143 31881524 47822286 63763048 95644572 127526096 191289144 255052192 382578288 510104384 765156576 1530313152