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1505425440 = 253523136361
BaseRepresentation
bin101100110111010…
…1111100000100000
310212220201112110210
41121232233200200
511040342103230
6405214254120
752206622311
oct13156574040
93786645423
101505425440
11702856462
123601b7340
131acb718ac
14103d16608
158c26beb0
hex59baf820

1505425440 has 96 divisors (see below), whose sum is σ = 4948304256. Its totient is φ = 383989760.

The previous prime is 1505425421. The next prime is 1505425447. The reversal of 1505425440 is 445245051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1505425398 and 1505425407.

It is not an unprimeable number, because it can be changed into a prime (1505425447) 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, 57141 + ... + 79220.

It is an arithmetic number, because the mean of its divisors is an integer number (51544836).

Almost surely, 21505425440 is an apocalyptic number.

1505425440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1505425440 is an abundant number, since it is smaller than the sum of its proper divisors (3442878816).

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

1505425440 is a wasteful number, since it uses less digits than its factorization.

1505425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136402 (or 136394 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1505425440 is about 38799.8123706804. The cubic root of 1505425440 is about 1146.0927104746.

The spelling of 1505425440 in words is "one billion, five hundred five million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 136361 272722 409083 545444 681805 818166 1090888 1363610 1636332 2045415 2181776 2727220 3136303 3272664 4090830 4363552 5454440 6272606 6545328 8181660 9408909 10908880 12545212 13090656 15681515 16363320 18817818 21817760 25090424 31363030 32726640 37635636 47044545 50180848 62726060 65453280 75271272 94089090 100361696 125452120 150542544 188178180 250904240 301085088 376356360 501808480 752712720 1505425440