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1042542160 = 2451119232711
BaseRepresentation
bin111110001000111…
…110111001010000
32200122201121222121
4332020332321100
54113342322120
6251241144024
734556314342
oct7610767120
92618647877
101042542160
114955403a0
1225118b014
13137cb3b6a
149c663292
15617d65aa
hex3e23ee50

1042542160 has 160 divisors (see below), whose sum is σ = 2905528320. Its totient is φ = 343411200.

The previous prime is 1042542157. The next prime is 1042542169. The reversal of 1042542160 is 612452401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042542169) 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, 383205 + ... + 385915.

It is an arithmetic number, because the mean of its divisors is an integer number (18159552).

Almost surely, 21042542160 is an apocalyptic number.

1042542160 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 1042542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452764160).

1042542160 is an abundant number, since it is smaller than the sum of its proper divisors (1862986160).

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

1042542160 is a wasteful number, since it uses less digits than its factorization.

1042542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1042542160 is about 32288.4214541374. The cubic root of 1042542160 is about 1013.9842491916.

Adding to 1042542160 its reverse (612452401), we get a palindrome (1654994561).

The spelling of 1042542160 in words is "one billion, forty-two million, five hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 23 38 40 44 46 55 76 80 88 92 95 110 115 152 176 184 190 209 220 230 253 304 368 380 418 437 440 460 506 760 836 874 880 920 1012 1045 1265 1520 1672 1748 1840 2024 2090 2185 2530 2711 3344 3496 4048 4180 4370 4807 5060 5422 6992 8360 8740 9614 10120 10844 13555 16720 17480 19228 20240 21688 24035 27110 29821 34960 38456 43376 48070 51509 54220 59642 62353 76912 96140 103018 108440 119284 124706 149105 192280 206036 216880 238568 249412 257545 298210 311765 384560 412072 477136 498824 515090 566599 596420 623530 685883 824144 997648 1030180 1133198 1184707 1192840 1247060 1371766 2060360 2266396 2369414 2385680 2494120 2743532 2832995 3429415 4120720 4532792 4738828 4988240 5487064 5665990 5923535 6858830 9065584 9477656 10974128 11331980 11847070 13031777 13717660 18955312 22663960 23694140 26063554 27435320 45327920 47388280 52127108 54870640 65158885 94776560 104254216 130317770 208508432 260635540 521271080 1042542160