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830697420 = 223572278713
BaseRepresentation
bin110001100000110…
…110111111001100
32010220002210122010
4301200312333030
53200124304140
6214232421220
726404545240
oct6140667714
92126083563
10830697420
113969a82a3
121b2247810
13103140447
147c47a420
154cddc880
hex31836fcc

830697420 has 96 divisors (see below), whose sum is σ = 2670248448. Its totient is φ = 189015552.

The previous prime is 830697419. The next prime is 830697457. The reversal of 830697420 is 24796038.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90984 + ... + 99696.

It is an arithmetic number, because the mean of its divisors is an integer number (27815088).

Almost surely, 2830697420 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 830697420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335124224).

830697420 is an abundant number, since it is smaller than the sum of its proper divisors (1839551028).

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

830697420 is a wasteful number, since it uses less digits than its factorization.

830697420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8959 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 830697420 is about 28821.8219410224. The cubic root of 830697420 is about 940.0427851357.

The spelling of 830697420 in words is "eight hundred thirty million, six hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 8713 9534 13620 15890 17426 19068 23835 26139 31780 34852 43565 47670 52278 60991 87130 95340 104556 121982 130695 174260 182973 243964 261390 304955 365946 522780 609910 731892 914865 1219820 1829730 1977851 3659460 3955702 5933553 7911404 9889255 11867106 13844957 19778510 23734212 27689914 29667765 39557020 41534871 55379828 59335530 69224785 83069742 118671060 138449570 166139484 207674355 276899140 415348710 830697420