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2770040 = 235713761
BaseRepresentation
bin1010100100010001111000
312012201210002
422210101320
51202120130
6135212132
732354630
oct12442170
95181702
102770040
111622199
12b17048
1375caa0
145216c0
1539ab45
hex2a4478

2770040 has 64 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 875520.

The previous prime is 2769983. The next prime is 2770043. The reversal of 2770040 is 400772.

2770040 = T91 + T92 + ... + T258.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2769994 and 2770021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

22770040 is an apocalyptic number.

2770040 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 2770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2770040 is an abundant number, since it is smaller than the sum of its proper divisors (4910920).

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

2770040 is a wasteful number, since it uses less digits than its factorization.

2770040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 2770040 is about 1664.3437145013. The cubic root of 2770040 is about 140.4414636074.

The spelling of 2770040 in words is "two million, seven hundred seventy thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 761 910 1522 1820 3044 3640 3805 5327 6088 7610 9893 10654 15220 19786 21308 26635 30440 39572 42616 49465 53270 69251 79144 98930 106540 138502 197860 213080 277004 346255 395720 554008 692510 1385020 2770040