Search a number
-
+
152215040 = 295371607
BaseRepresentation
bin10010001001010…
…01111000000000
3101121102022210002
421010221320000
5302431340130
623034255132
73525543425
oct1104517000
9347368702
10152215040
1178a1545a
1242b874a8
13256c6193
1416303d4c
15d56ab45
hex9129e00

152215040 has 80 divisors (see below), whose sum is σ = 375056352. Its totient is φ = 59203584.

The previous prime is 152215013. The next prime is 152215051. The reversal of 152215040 is 40512251.

152215040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 93917 + ... + 95523.

Almost surely, 2152215040 is an apocalyptic number.

152215040 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 152215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187528176).

152215040 is an abundant number, since it is smaller than the sum of its proper divisors (222841312).

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

152215040 is an equidigital number, since it uses as much as digits as its factorization.

152215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152215040 is about 12337.5459472295. The cubic root of 152215040 is about 533.9318835623.

Adding to 152215040 its reverse (40512251), we get a palindrome (192727291).

The spelling of 152215040 in words is "one hundred fifty-two million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1480 1607 2368 2560 2960 3214 4736 5920 6428 8035 9472 11840 12856 16070 18944 23680 25712 32140 47360 51424 59459 64280 94720 102848 118918 128560 205696 237836 257120 297295 411392 475672 514240 594590 822784 951344 1028480 1189180 1902688 2056960 2378360 3805376 4113920 4756720 7610752 9513440 15221504 19026880 30443008 38053760 76107520 152215040