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1629420 = 2235132089
BaseRepresentation
bin110001101110011101100
310001210010220
412031303230
5404120140
654531340
716564332
oct6156354
93053126
101629420
11a13231
12666b50
13450870
14305b52
15222bd0
hex18dcec

1629420 has 48 divisors (see below), whose sum is σ = 4915680. Its totient is φ = 400896.

The previous prime is 1629409. The next prime is 1629427. The reversal of 1629420 is 249261.

1629420 = 1822 + 1832 + ... + 2212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1629427) 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, 265 + ... + 1824.

It is an arithmetic number, because the mean of its divisors is an integer number (102410).

21629420 is an apocalyptic number.

1629420 is a gapful number since it is divisible by the number (10) 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 1629420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457840).

1629420 is an abundant number, since it is smaller than the sum of its proper divisors (3286260).

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

1629420 is a wasteful number, since it uses less digits than its factorization.

1629420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1629420 is about 1276.4873677401. The cubic root of 1629420 is about 117.6732317259.

The spelling of 1629420 in words is "one million, six hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2089 4178 6267 8356 10445 12534 20890 25068 27157 31335 41780 54314 62670 81471 108628 125340 135785 162942 271570 325884 407355 543140 814710 1629420