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152520340 = 225721031511
BaseRepresentation
bin10010001011101…
…00011010010100
3101121222211120111
421011310122110
5303021122330
623045012404
73531254500
oct1105643224
9347884514
10152520340
1179103875
12430b4104
13257a212b
1416383300
15d5cb32a
hex9174694

152520340 has 72 divisors (see below), whose sum is σ = 376451712. Its totient is φ = 51750720.

The previous prime is 152520331. The next prime is 152520349. The reversal of 152520340 is 43025251.

It is an interprime number because it is at equal distance from previous prime (152520331) and next prime (152520349).

It is a super-2 number, since 2×1525203402 = 46524908227431200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152520349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100185 + ... + 101695.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2152520340 is an apocalyptic number.

152520340 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 152520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

152520340 is an abundant number, since it is smaller than the sum of its proper divisors (223931372).

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

152520340 is a wasteful number, since it uses less digits than its factorization.

152520340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 152520340 is about 12349.9125502977. The cubic root of 152520340 is about 534.2886169089.

Adding to 152520340 its reverse (43025251), we get a palindrome (195545591).

The spelling of 152520340 in words is "one hundred fifty-two million, five hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 412 490 515 721 980 1030 1442 1511 2060 2884 3022 3605 5047 6044 7210 7555 10094 10577 14420 15110 20188 21154 25235 30220 42308 50470 52885 74039 100940 105770 148078 155633 211540 296156 311266 370195 622532 740390 778165 1089431 1480780 1556330 2178862 3112660 4357724 5447155 7626017 10894310 15252034 21788620 30504068 38130085 76260170 152520340