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2468480 = 27571929
BaseRepresentation
bin1001011010101010000000
311122102010012
421122222000
51112442410
6124524052
726660510
oct11325200
94572105
102468480
111436673
129b0628
13685751
14483840
1533b605
hex25aa80

2468480 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 774144.

The previous prime is 2468471. The next prime is 2468507. The reversal of 2468480 is 848642.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85106 + ... + 85134.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

22468480 is an apocalyptic number.

2468480 is a gapful number since it is divisible by the number (20) 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 2468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2468480 is an abundant number, since it is smaller than the sum of its proper divisors (4875520).

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

2468480 is a wasteful number, since it uses less digits than its factorization.

2468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2468480 is about 1571.1397137110. The cubic root of 2468480 is about 135.1480771173.

The spelling of 2468480 in words is "two million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 29 32 35 38 40 56 58 64 70 76 80 95 112 116 128 133 140 145 152 160 190 203 224 232 266 280 290 304 320 380 406 448 464 532 551 560 580 608 640 665 760 812 896 928 1015 1064 1102 1120 1160 1216 1330 1520 1624 1856 2030 2128 2204 2240 2320 2432 2660 2755 3040 3248 3712 3857 4060 4256 4408 4480 4640 5320 5510 6080 6496 7714 8120 8512 8816 9280 10640 11020 12160 12992 15428 16240 17024 17632 18560 19285 21280 22040 25984 30856 32480 35264 38570 42560 44080 61712 64960 70528 77140 85120 88160 123424 129920 154280 176320 246848 308560 352640 493696 617120 1234240 2468480