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125003040 = 25351715319
BaseRepresentation
bin1110111001101…
…10010100100000
322201012210221020
413130312110200
5224000044130
620223125440
73045336231
oct734662440
9281183836
10125003040
11646196a8
1235a43880
131cb891c6
141285d088
15ae92e10
hex7736520

125003040 has 96 divisors (see below), whose sum is σ = 416949120. Its totient is φ = 31371264.

The previous prime is 125003017. The next prime is 125003051. The reversal of 125003040 is 40300521.

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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (4343220).

Almost surely, 2125003040 is an apocalyptic number.

125003040 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 125003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208474560).

125003040 is an abundant number, since it is smaller than the sum of its proper divisors (291946080).

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

125003040 is a wasteful number, since it uses less digits than its factorization.

125003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 125003040 is about 11180.4758396054. The cubic root of 125003040 is about 500.0040533005.

Adding to 125003040 its reverse (40300521), we get a palindrome (165303561).

The spelling of 125003040 in words is "one hundred twenty-five million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 15319 30638 45957 61276 76595 91914 122552 153190 183828 229785 245104 260423 306380 367656 459570 490208 520846 612760 735312 781269 919140 1041692 1225520 1302115 1470624 1562538 1838280 2083384 2451040 2604230 3125076 3676560 3906345 4166768 5208460 6250152 7353120 7812690 8333536 10416920 12500304 15625380 20833840 25000608 31250760 41667680 62501520 125003040