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152520030 = 233513192287
BaseRepresentation
bin10010001011101…
…00010101011110
3101121222211011000
421011310111132
5303021120110
623045011130
73531253545
oct1105642536
9347884130
10152520030
1179103613
12430b3aa6
13257a1c50
141638315c
15d5cb1c0
hex917455e

152520030 has 128 divisors (see below), whose sum is σ = 461260800. Its totient is φ = 35551872.

The previous prime is 152520013. The next prime is 152520037. The reversal of 152520030 is 30025251.

It is a happy number.

152520030 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 152519985 and 152520012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152520037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65547 + ... + 67833.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2152520030 is an apocalyptic number.

152520030 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 152520030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

152520030 is an abundant number, since it is smaller than the sum of its proper divisors (308740770).

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

152520030 is a wasteful number, since it uses less digits than its factorization.

152520030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152520030 is about 12349.8999995951. The cubic root of 152520030 is about 534.2882549253.

Adding to 152520030 its reverse (30025251), we get a palindrome (182545281).

The spelling of 152520030 in words is "one hundred fifty-two million, five hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 702 741 855 1026 1170 1235 1482 1710 1755 2223 2287 2470 2565 3510 3705 4446 4574 5130 6669 6861 7410 11115 11435 13338 13722 20583 22230 22870 29731 33345 34305 41166 43453 59462 61749 66690 68610 86906 89193 102915 123498 130359 148655 178386 205830 217265 260718 267579 297310 308745 391077 434530 445965 535158 564889 617490 651795 782154 802737 891930 1129778 1173231 1303590 1337895 1605474 1694667 1955385 2346462 2675790 2824445 3389334 3910770 4013685 5084001 5648890 5866155 8027370 8473335 10168002 11732310 15252003 16946670 25420005 30504006 50840010 76260015 152520030