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1040420240 = 245192923603
BaseRepresentation
bin111110000000111…
…000110110010000
32200111201211020222
4332000320312100
54112321421430
6251123452212
734532266106
oct7600706620
92614654228
101040420240
11494321142
12250527068
131377200a2
149c26dc76
15615179e5
hex3e038d90

1040420240 has 80 divisors (see below), whose sum is σ = 2634206400. Its totient is φ = 380653056.

The previous prime is 1040420239. The next prime is 1040420243. The reversal of 1040420240 is 420240401.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1040420243) by changing a digit.

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, 32279 + ... + 55881.

It is an arithmetic number, because the mean of its divisors is an integer number (32927580).

Almost surely, 21040420240 is an apocalyptic number.

1040420240 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 1040420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317103200).

1040420240 is an abundant number, since it is smaller than the sum of its proper divisors (1593786160).

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

1040420240 is a wasteful number, since it uses less digits than its factorization.

1040420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23664 (or 23658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1040420240 is about 32255.5458797398. The cubic root of 1040420240 is about 1013.2958502217.

Adding to 1040420240 its reverse (420240401), we get a palindrome (1460660641).

The spelling of 1040420240 in words is "one billion, forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 23603 44080 47206 94412 118015 188824 236030 377648 448457 472060 684487 896914 944120 1368974 1793828 1888240 2242285 2737948 3422435 3587656 4484570 5475896 6844870 7175312 8969140 10951792 13005253 13689740 17938280 26010506 27379480 35876560 52021012 54758960 65026265 104042024 130052530 208084048 260105060 520210120 1040420240