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2070828 = 2232234161
BaseRepresentation
bin111111001100100101100
310220012122100
413321210230
51012231303
6112215100
723413254
oct7714454
93805570
102070828
111194931
1283a490
13576756
143bc964
152ad8a3
hex1f992c

2070828 has 72 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 633600.

The previous prime is 2070823. The next prime is 2070833. The reversal of 2070828 is 8280702.

It is an interprime number because it is at equal distance from previous prime (2070823) and next prime (2070833).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2070823) 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, 33918 + ... + 33978.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

22070828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2070828 is an abundant number, since it is smaller than the sum of its proper divisors (3616308).

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

2070828 is a wasteful number, since it uses less digits than its factorization.

2070828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2070828 is about 1439.0371781160. The cubic root of 2070828 is about 127.4621802476.

It can be divided in two parts, 20708 and 28, that added together give a 4-th power (20736 = 124).

The spelling of 2070828 in words is "two million, seventy thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 61 69 82 92 122 123 138 164 183 207 244 246 276 366 369 414 492 549 732 738 828 943 1098 1403 1476 1886 2196 2501 2806 2829 3772 4209 5002 5612 5658 7503 8418 8487 10004 11316 12627 15006 16836 16974 22509 25254 30012 33948 45018 50508 57523 90036 115046 172569 230092 345138 517707 690276 1035414 2070828