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152254520 = 235112931181
BaseRepresentation
bin10010001001100…
…11100000111000
3101121111022221022
421010303200320
5302434121040
623035202012
73526066505
oct1104634070
9347438838
10152254520
1178a42090
1242ba6308
132570b142
14163144ac
15d5776b5
hex9133838

152254520 has 64 divisors (see below), whose sum is σ = 375308640. Its totient is φ = 55129600.

The previous prime is 152254513. The next prime is 152254537. The reversal of 152254520 is 25452251.

It is a self number, because there is not a number n which added to its sum of digits gives 152254520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128330 + ... + 129510.

Almost surely, 2152254520 is an apocalyptic number.

152254520 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 152254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187654320).

152254520 is an abundant number, since it is smaller than the sum of its proper divisors (223054120).

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

152254520 is a wasteful number, since it uses less digits than its factorization.

152254520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 152254520 is about 12339.1458375367. The cubic root of 152254520 is about 533.9780415253.

The spelling of 152254520 in words is "one hundred fifty-two million, two hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 293 440 586 1172 1181 1465 2344 2362 2930 3223 4724 5860 5905 6446 9448 11720 11810 12892 12991 16115 23620 25784 25982 32230 47240 51964 64460 64955 103928 128920 129910 259820 346033 519640 692066 1384132 1730165 2768264 3460330 3806363 6920660 7612726 13841320 15225452 19031815 30450904 38063630 76127260 152254520