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2793120 = 253511232
BaseRepresentation
bin1010101001111010100000
312020220102220
422221322200
51203334440
6135511040
732512131
oct12517240
95226386
102793120
111638570
12b28480
1376a445
14529c88
153a28d0
hex2a9ea0

2793120 has 144 divisors (see below), whose sum is σ = 10033632. Its totient is φ = 647680.

The previous prime is 2793107. The next prime is 2793121. The reversal of 2793120 is 213972.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2793121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121429 + ... + 121451.

It is an arithmetic number, because the mean of its divisors is an integer number (69678).

22793120 is an apocalyptic number.

2793120 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 2793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016816).

2793120 is an abundant number, since it is smaller than the sum of its proper divisors (7240512).

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

2793120 is a wasteful number, since it uses less digits than its factorization.

2793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2793120 is about 1671.2629954618. The cubic root of 2793120 is about 140.8304384950.

The spelling of 2793120 in words is "two million, seven hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 32 33 40 44 46 48 55 60 66 69 80 88 92 96 110 115 120 132 138 160 165 176 184 220 230 240 253 264 276 330 345 352 368 440 460 480 506 528 529 552 660 690 736 759 880 920 1012 1056 1058 1104 1265 1320 1380 1518 1587 1760 1840 2024 2116 2208 2530 2640 2645 2760 3036 3174 3680 3795 4048 4232 5060 5280 5290 5520 5819 6072 6348 7590 7935 8096 8464 10120 10580 11040 11638 12144 12696 15180 15870 16928 17457 20240 21160 23276 24288 25392 29095 30360 31740 34914 40480 42320 46552 50784 58190 60720 63480 69828 84640 87285 93104 116380 121440 126960 139656 174570 186208 232760 253920 279312 349140 465520 558624 698280 931040 1396560 2793120