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1531220240 = 245117732251
BaseRepresentation
bin101101101000100…
…1001000100010000
310221201021001021202
41123101021010100
511113443021430
6411535210332
752642104644
oct13321110420
93851231252
101531220240
11716374480
123689769a8
131b53037a4
1410750cc24
158e664d45
hex5b449110

1531220240 has 80 divisors (see below), whose sum is σ = 3890483136. Its totient is φ = 555840000.

The previous prime is 1531220227. The next prime is 1531220263. The reversal of 1531220240 is 420221351.

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 (20).

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, 679115 + ... + 681365.

Almost surely, 21531220240 is an apocalyptic number.

1531220240 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 1531220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945241568).

1531220240 is an abundant number, since it is smaller than the sum of its proper divisors (2359262896).

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

1531220240 is a wasteful number, since it uses less digits than its factorization.

1531220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1531220240 is about 39130.8093450672. The cubic root of 1531220240 is about 1152.6016059413.

Adding to 1531220240 its reverse (420221351), we get a palindrome (1951441591).

The spelling of 1531220240 in words is "one billion, five hundred thirty-one million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 773 880 1546 2251 3092 3865 4502 6184 7730 8503 9004 11255 12368 15460 17006 18008 22510 24761 30920 34012 36016 42515 45020 49522 61840 68024 85030 90040 99044 123805 136048 170060 180080 198088 247610 340120 396176 495220 680240 990440 1740023 1980880 3480046 6960092 8700115 13920184 17400230 19140253 27840368 34800460 38280506 69600920 76561012 95701265 139201840 153122024 191402530 306244048 382805060 765610120 1531220240