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240852640 = 2557231991
BaseRepresentation
bin11100101101100…
…01111010100000
3121210012120201011
432112301322200
5443124241030
635522150304
75653133200
oct1626617240
9553176634
10240852640
11113a56176
12687b2394
133ab8bc72
1423db8400
1516228b2a
hexe5b1ea0

240852640 has 144 divisors (see below), whose sum is σ = 683956224. Its totient is φ = 79833600.

The previous prime is 240852631. The next prime is 240852641. The reversal of 240852640 is 46258042.

240852640 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 (31).

It is not an unprimeable number, because it can be changed into a prime (240852641) 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, 242545 + ... + 243535.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2240852640 is an apocalyptic number.

240852640 is a gapful number since it is divisible by the number (20) 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 240852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

240852640 is an abundant number, since it is smaller than the sum of its proper divisors (443103584).

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

240852640 is a wasteful number, since it uses less digits than its factorization.

240852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 240852640 is about 15519.4278245044. The cubic root of 240852640 is about 622.1815621579.

The spelling of 240852640 in words is "two hundred forty million, eight hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 991 992 1085 1120 1240 1519 1568 1736 1960 1982 2170 2480 3038 3472 3920 3964 4340 4955 4960 6076 6937 6944 7595 7840 7928 8680 9910 12152 13874 15190 15856 17360 19820 24304 27748 30380 30721 31712 34685 34720 39640 48559 48608 55496 60760 61442 69370 79280 97118 110992 121520 122884 138740 153605 158560 194236 215047 221984 242795 243040 245768 277480 307210 388472 430094 485590 491536 554960 614420 776944 860188 971180 983072 1075235 1109920 1228840 1505329 1553888 1720376 1942360 2150470 2457680 3010658 3440752 3884720 4300940 4915360 6021316 6881504 7526645 7769440 8601880 12042632 15053290 17203760 24085264 30106580 34407520 48170528 60213160 120426320 240852640