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1442090940 = 223571503673
BaseRepresentation
bin101010111110100…
…1000111110111100
310201111112210212120
41111331020332330
510423133402230
6355033002540
750510366523
oct12575107674
93644483776
101442090940
116800282a4
12342b53450
1319c9c7c64
14d974b4ba
158690b310
hex55f48fbc

1442090940 has 96 divisors (see below), whose sum is σ = 4108962816. Its totient is φ = 377825280.

The previous prime is 1442090933. The next prime is 1442091017. The reversal of 1442090940 is 490902441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142444 + ... + 2143116.

It is an arithmetic number, because the mean of its divisors is an integer number (42801696).

Almost surely, 21442090940 is an apocalyptic number.

1442090940 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 1442090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054481408).

1442090940 is an abundant number, since it is smaller than the sum of its proper divisors (2666871876).

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

1442090940 is a wasteful number, since it uses less digits than its factorization.

1442090940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1442090940 is about 37974.8724816819. The cubic root of 1442090940 is about 1129.7895397328.

The spelling of 1442090940 in words is "one billion, four hundred forty-two million, ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 503 673 710 852 1006 1065 1346 1420 1509 2012 2019 2130 2515 2692 3018 3365 4038 4260 5030 6036 6730 7545 8076 10060 10095 13460 15090 20190 30180 35713 40380 47783 71426 95566 107139 142852 143349 178565 191132 214278 238915 286698 338519 357130 428556 477830 535695 573396 677038 714260 716745 955660 1015557 1071390 1354076 1433490 1692595 2031114 2142780 2866980 3385190 4062228 5077785 6770380 10155570 20311140 24034849 48069698 72104547 96139396 120174245 144209094 240348490 288418188 360522735 480696980 721045470 1442090940