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1204142240 = 25573113457
BaseRepresentation
bin100011111000101…
…1100000010100000
310002220210202121202
41013301130002200
54431230022430
6315252540332
741561016530
oct10761340240
93086722552
101204142240
11568785984
122973216a8
13162614a02
14b5ccb4c0
1570aa7d45
hex47c5c0a0

1204142240 has 96 divisors (see below), whose sum is σ = 3262581504. Its totient is φ = 411402240.

The previous prime is 1204142237. The next prime is 1204142273. The reversal of 1204142240 is 422414021.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 346592 + ... + 350048.

It is an arithmetic number, because the mean of its divisors is an integer number (33985224).

Almost surely, 21204142240 is an apocalyptic number.

1204142240 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 1204142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631290752).

1204142240 is an abundant number, since it is smaller than the sum of its proper divisors (2058439264).

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

1204142240 is a wasteful number, since it uses less digits than its factorization.

1204142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1204142240 is about 34700.7527295879. The cubic root of 1204142240 is about 1063.8798835516.

Adding to 1204142240 its reverse (422414021), we get a palindrome (1626556261).

The spelling of 1204142240 in words is "one billion, two hundred four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 311 560 622 1120 1244 1555 2177 2488 3110 3457 4354 4976 6220 6914 8708 9952 10885 12440 13828 17285 17416 21770 24199 24880 27656 34570 34832 43540 48398 49760 55312 69140 69664 87080 96796 110624 120995 138280 174160 193592 241990 276560 348320 387184 483980 553120 774368 967960 1075127 1935920 2150254 3871840 4300508 5375635 7525889 8601016 10751270 15051778 17202032 21502540 30103556 34404064 37629445 43005080 60207112 75258890 86010160 120414224 150517780 172020320 240828448 301035560 602071120 1204142240