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152521035240 = 23357612976601
BaseRepresentation
bin1000111000001011110…
…1100100110111101000
3112120200110020101002010
42032002331210313220
54444330341111430
6154022303035520
714006420260140
oct2160275446750
9476613211063
10152521035240
115975816a252
1225686b9bba0
13114c89652a2
14754c519920
153e7a0b2cb0
hex2382f64de8

152521035240 has 128 divisors (see below), whose sum is σ = 531502053120. Its totient is φ = 34290432000.

The previous prime is 152521035221. The next prime is 152521035269. The reversal of 152521035240 is 42530125251.

152521035240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 152521035198 and 152521035207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437061 + ... + 1539540.

It is an arithmetic number, because the mean of its divisors is an integer number (4152359790).

Almost surely, 2152521035240 is an apocalyptic number.

152521035240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152521035240 is an abundant number, since it is smaller than the sum of its proper divisors (378981017880).

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

152521035240 is a wasteful number, since it uses less digits than its factorization.

152521035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976683 (or 2976679 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 152521035240 in words is "one hundred fifty-two billion, five hundred twenty-one million, thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1464 1708 1830 2135 2440 2562 3416 3660 4270 5124 6405 7320 8540 10248 12810 17080 25620 51240 2976601 5953202 8929803 11906404 14883005 17859606 20836207 23812808 29766010 35719212 41672414 44649015 59532020 62508621 71438424 83344828 89298030 104181035 119064040 125017242 166689656 178596060 181572661 208362070 250034484 312543105 357192120 363145322 416724140 500068968 544717983 625086210 726290644 833448280 907863305 1089435966 1250172420 1271008627 1452581288 1815726610 2178871932 2500344840 2542017254 2723589915 3631453220 3813025881 4357743864 5084034508 5447179830 6355043135 7262906440 7626051762 10168069016 10894359660 12710086270 15252103524 19065129405 21788719320 25420172540 30504207048 38130258810 50840345080 76260517620 152521035240