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2797920 = 253252967
BaseRepresentation
bin1010101011000101100000
312021011000200
422223011200
51204013140
6135545200
732532126
oct12530540
95234020
102797920
111641134
12b2b200
1376c698
1452b916
153a4030
hex2ab160

2797920 has 144 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 709632.

The previous prime is 2797919. The next prime is 2797939. The reversal of 2797920 is 297972.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41727 + ... + 41793.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

22797920 is an apocalyptic number.

2797920 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 2797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

2797920 is an abundant number, since it is smaller than the sum of its proper divisors (7226640).

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

2797920 is a wasteful number, since it uses less digits than its factorization.

2797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2797920 is about 1672.6984187235. The cubic root of 2797920 is about 140.9110650876.

The spelling of 2797920 in words is "two million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 67 72 80 87 90 96 116 120 134 144 145 160 174 180 201 232 240 261 268 288 290 335 348 360 402 435 464 480 522 536 580 603 670 696 720 804 870 928 1005 1044 1072 1160 1206 1305 1340 1392 1440 1608 1740 1943 2010 2088 2144 2320 2412 2610 2680 2784 3015 3216 3480 3886 4020 4176 4640 4824 5220 5360 5829 6030 6432 6960 7772 8040 8352 9648 9715 10440 10720 11658 12060 13920 15544 16080 17487 19296 19430 20880 23316 24120 29145 31088 32160 34974 38860 41760 46632 48240 58290 62176 69948 77720 87435 93264 96480 116580 139896 155440 174870 186528 233160 279792 310880 349740 466320 559584 699480 932640 1398960 2797920