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2079480 = 2335133143
BaseRepresentation
bin111111011101011111000
310220122111210
413323223320
51013020410
6112323120
723450424
oct7735370
93818453
102079480
1111a0387
128434a0
1357a680
143c1b84
152b1220
hex1fbaf8

2079480 has 128 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 483840.

The previous prime is 2079463. The next prime is 2079481. The reversal of 2079480 is 849702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48339 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

22079480 is an apocalyptic number.

2079480 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 2079480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2079480 is an abundant number, since it is smaller than the sum of its proper divisors (5016840).

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

2079480 is a wasteful number, since it uses less digits than its factorization.

2079480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2079480 is about 1442.0402213531. The cubic root of 2079480 is about 127.6394475835.

The spelling of 2079480 in words is "two million, seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 43 52 60 62 65 78 86 93 104 120 124 129 130 155 156 172 186 195 215 248 258 260 310 312 344 372 390 403 430 465 516 520 559 620 645 744 780 806 860 930 1032 1118 1209 1240 1290 1333 1560 1612 1677 1720 1860 2015 2236 2418 2580 2666 2795 3224 3354 3720 3999 4030 4472 4836 5160 5332 5590 6045 6665 6708 7998 8060 8385 9672 10664 11180 12090 13330 13416 15996 16120 16770 17329 19995 22360 24180 26660 31992 33540 34658 39990 48360 51987 53320 67080 69316 79980 86645 103974 138632 159960 173290 207948 259935 346580 415896 519870 693160 1039740 2079480