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1120553140 = 2257371371579
BaseRepresentation
bin100001011001010…
…0100100010110100
32220002111222221011
41002302210202310
54243330200030
6303105202004
736524354530
oct10262444264
92802458834
101120553140
11525583183
12273330304
1314b1c8ac5
14a8b6cbc0
1568595b2a
hex42ca48b4

1120553140 has 96 divisors (see below), whose sum is σ = 2783934720. Its totient is φ = 370842624.

The previous prime is 1120553129. The next prime is 1120553149. The reversal of 1120553140 is 413550211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120553149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708871 + ... + 710449.

It is an arithmetic number, because the mean of its divisors is an integer number (28999320).

Almost surely, 21120553140 is an apocalyptic number.

1120553140 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 1120553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391967360).

1120553140 is an abundant number, since it is smaller than the sum of its proper divisors (1663381580).

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

1120553140 is a wasteful number, since it uses less digits than its factorization.

1120553140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1120553140 is about 33474.6641506677. The cubic root of 1120553140 is about 1038.6697551015.

The spelling of 1120553140 in words is "one billion, one hundred twenty million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 137 140 148 185 259 274 370 518 548 685 740 959 1036 1295 1370 1579 1918 2590 2740 3158 3836 4795 5069 5180 6316 7895 9590 10138 11053 15790 19180 20276 22106 25345 31580 35483 44212 50690 55265 58423 70966 101380 110530 116846 141932 177415 216323 221060 233692 292115 354830 408961 432646 584230 709660 817922 865292 1081615 1168460 1514261 1635844 2044805 2163230 3028522 4089610 4326460 6057044 7571305 8003951 8179220 15142610 16007902 30285220 32015804 40019755 56027657 80039510 112055314 160079020 224110628 280138285 560276570 1120553140