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8029420 = 225783691
BaseRepresentation
bin11110101000010011101100
3120002221021221
4132220103230
54023420140
6444033124
7125151250
oct36502354
916087257
108029420
114594693
1228327a4
131881949
1410d0260
15a8914a
hex7a84ec

8029420 has 48 divisors (see below), whose sum is σ = 19531008. Its totient is φ = 2715840.

The previous prime is 8029393. The next prime is 8029421. The reversal of 8029420 is 249208.

It is not an unprimeable number, because it can be changed into a prime (8029421) 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, 11275 + ... + 11965.

It is an arithmetic number, because the mean of its divisors is an integer number (406896).

Almost surely, 28029420 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 8029420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765504).

8029420 is an abundant number, since it is smaller than the sum of its proper divisors (11501588).

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

8029420 is a wasteful number, since it uses less digits than its factorization.

8029420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8029420 is about 2833.6231224353. The cubic root of 8029420 is about 200.2448667457.

The spelling of 8029420 in words is "eight million, twenty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 691 830 1162 1382 1660 2324 2764 2905 3455 4837 5810 6910 9674 11620 13820 19348 24185 48370 57353 96740 114706 229412 286765 401471 573530 802942 1147060 1605884 2007355 4014710 8029420