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720138240 = 2123253907
BaseRepresentation
bin101010111011000…
…111000000000000
31212012001210221200
4222323013000000
52433323410430
6155243021200
723563034253
oct5273070000
91765053850
10720138240
1133a554578
1218120a800
13b6270703
146b8db09a
154334e460
hex2aec7000

720138240 has 156 divisors (see below), whose sum is σ = 2496813384. Its totient is φ = 191987712.

The previous prime is 720138217. The next prime is 720138253. The reversal of 720138240 is 42831027.

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 11 ways as a sum of consecutive naturals, for example, 182367 + ... + 186273.

It is an arithmetic number, because the mean of its divisors is an integer number (16005214).

Almost surely, 2720138240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248406692).

720138240 is an abundant number, since it is smaller than the sum of its proper divisors (1776675144).

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

720138240 is a wasteful number, since it uses less digits than its factorization.

720138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 720138240 is about 26835.3915566738. The cubic root of 720138240 is about 896.3383076214.

Adding to 720138240 its reverse (42831027), we get a palindrome (762969267).

The spelling of 720138240 in words is "seven hundred twenty million, one hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 3907 4096 4608 5120 5760 6144 7680 7814 9216 10240 11520 11721 12288 15360 15628 18432 19535 20480 23040 23442 30720 31256 35163 36864 39070 46080 46884 58605 61440 62512 70326 78140 92160 93768 117210 125024 140652 156280 175815 184320 187536 234420 250048 281304 312560 351630 375072 468840 500096 562608 625120 703260 750144 937680 1000192 1125216 1250240 1406520 1500288 1875360 2000384 2250432 2500480 2813040 3000576 3750720 4000768 4500864 5000960 5626080 6001152 7501440 8001536 9001728 10001920 11252160 12002304 15002880 16003072 18003456 20003840 22504320 24004608 30005760 36006912 40007680 45008640 48009216 60011520 72013824 80015360 90017280 120023040 144027648 180034560 240046080 360069120 720138240