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1142604320 = 255111349939
BaseRepresentation
bin100010000011010…
…1100001000100000
32221122000022110112
41010012230020200
54320001314240
6305213550452
740212655634
oct10406541040
92848008415
101142604320
11536a745a0
1227a7a5428
13152949a40
14aba6cdc4
156a49e665
hex441ac220

1142604320 has 96 divisors (see below), whose sum is σ = 3171389760. Its totient is φ = 383523840.

The previous prime is 1142604317. The next prime is 1142604329. The reversal of 1142604320 is 234062411.

It is not an unprimeable number, because it can be changed into a prime (1142604329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090 + ... + 47849.

It is an arithmetic number, because the mean of its divisors is an integer number (33035310).

Almost surely, 21142604320 is an apocalyptic number.

1142604320 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 1142604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585694880).

1142604320 is an abundant number, since it is smaller than the sum of its proper divisors (2028785440).

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

1142604320 is a wasteful number, since it uses less digits than its factorization.

1142604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49978 (or 49970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1142604320 is about 33802.4306818312. The cubic root of 1142604320 is about 1045.4388151199.

Adding to 1142604320 its reverse (234062411), we get a palindrome (1376666731).

The spelling of 1142604320 in words is "one billion, one hundred forty-two million, six hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 49939 99878 199756 249695 399512 499390 549329 649207 799024 998780 1098658 1298414 1598048 1997560 2197316 2596828 2746645 3246035 3995120 4394632 5193656 5493290 6492070 7141277 7990240 8789264 10387312 10986580 12984140 14282554 17578528 20774624 21973160 25968280 28565108 35706385 43946320 51936560 57130216 71412770 87892640 103873120 114260432 142825540 228520864 285651080 571302160 1142604320