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2993970 = 235753269
BaseRepresentation
bin1011011010111100110010
312122002221210
423122330302
51231301340
6144100550
734306530
oct13327462
95562853
102993970
111765461
121004756
1380a9a5
1457d150
153e2180
hex2daf32

2993970 has 64 divisors (see below), whose sum is σ = 8398080. Its totient is φ = 668928.

The previous prime is 2993959. The next prime is 2993981. The reversal of 2993970 is 793992.

2993970 = T396 + T397 + ... + T430.

It is an interprime number because it is at equal distance from previous prime (2993959) and next prime (2993981).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10996 + ... + 11264.

It is an arithmetic number, because the mean of its divisors is an integer number (131220).

22993970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199040).

2993970 is an abundant number, since it is smaller than the sum of its proper divisors (5404110).

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

2993970 is a wasteful number, since it uses less digits than its factorization.

2993970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 2993970 is about 1730.3092209198. The cubic root of 2993970 is about 144.1282614946.

The spelling of 2993970 in words is "two million, nine hundred ninety-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 269 318 371 530 538 742 795 807 1113 1345 1590 1614 1855 1883 2226 2690 3710 3766 4035 5565 5649 8070 9415 11130 11298 14257 18830 28245 28514 42771 56490 71285 85542 99799 142570 199598 213855 299397 427710 498995 598794 997990 1496985 2993970