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152010640 = 24519971031
BaseRepresentation
bin10010000111101…
…11111110010000
3101121000221101201
421003313332100
5302403320030
623030040544
73524032465
oct1103677620
9347027351
10152010640
1178895931
1242aa9154
1325654132
141628d66c
15d52a2ca
hex90f7f90

152010640 has 80 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 56954880.

The previous prime is 152010631. The next prime is 152010653. The reversal of 152010640 is 46010251.

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 (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146925 + ... + 147955.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2152010640 is an apocalyptic number.

152010640 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 152010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

152010640 is an abundant number, since it is smaller than the sum of its proper divisors (224215280).

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

152010640 is a wasteful number, since it uses less digits than its factorization.

152010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 152010640 is about 12329.2595073670. The cubic root of 152010640 is about 533.6927819949.

Adding to 152010640 its reverse (46010251), we get a palindrome (198020891).

The spelling of 152010640 in words is "one hundred fifty-two million, ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 380 388 485 760 776 970 1031 1520 1552 1843 1940 2062 3686 3880 4124 5155 7372 7760 8248 9215 10310 14744 16496 18430 19589 20620 29488 36860 39178 41240 73720 78356 82480 97945 100007 147440 156712 195890 200014 313424 391780 400028 500035 783560 800056 1000070 1567120 1600112 1900133 2000140 3800266 4000280 7600532 8000560 9500665 15201064 19001330 30402128 38002660 76005320 152010640