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152351430 = 235711101653
BaseRepresentation
bin10010001010010…
…11001011000110
3101121200020212120
421011023023012
5303000221210
623041230410
73526652160
oct1105131306
9347606776
10152351430
1178aa8980
1243032406
132574329a
141633b930
15d596270
hex914b2c6

152351430 has 128 divisors (see below), whose sum is σ = 461085696. Its totient is φ = 31296000.

The previous prime is 152351389. The next prime is 152351447. The reversal of 152351430 is 34153251.

152351430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152351430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232984 + ... + 233636.

It is an arithmetic number, because the mean of its divisors is an integer number (3602232).

Almost surely, 2152351430 is an apocalyptic number.

152351430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152351430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230542848).

152351430 is an abundant number, since it is smaller than the sum of its proper divisors (308734266).

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

152351430 is a wasteful number, since it uses less digits than its factorization.

152351430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152351430 is about 12343.0721459449. The cubic root of 152351430 is about 534.0913098358.

The spelling of 152351430 in words is "one hundred fifty-two million, three hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 606 653 707 770 1010 1111 1155 1306 1414 1515 1959 2121 2222 2310 3030 3265 3333 3535 3918 4242 4571 5555 6530 6666 7070 7183 7777 9142 9795 10605 11110 13713 14366 15554 16665 19590 21210 21549 22855 23331 27426 33330 35915 38885 43098 45710 46662 50281 65953 68565 71830 77770 100562 107745 116655 131906 137130 150843 197859 215490 233310 251405 301686 329765 395718 461671 502810 659530 725483 754215 923342 989295 1385013 1450966 1508430 1978590 2176449 2308355 2770026 3627415 4352898 4616710 5078381 6925065 7254830 10156762 10882245 13850130 15235143 21764490 25391905 30470286 50783810 76175715 152351430