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2029480 = 235113449
BaseRepresentation
bin111101111011110101000
310211002220221
413233132220
51004420410
6111255424
723151565
oct7573650
93732827
102029480
111166862
1281a574
1356099b
143ab86c
152a14da
hex1ef7a8

2029480 has 32 divisors (see below), whose sum is σ = 4617000. Its totient is φ = 802816.

The previous prime is 2029457. The next prime is 2029483. The reversal of 2029480 is 849202.

It can be written as a sum of positive squares in 4 ways, for example, as 1119364 + 910116 = 1058^2 + 954^2 .

It is not an unprimeable number, because it can be changed into a prime (2029483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4296 + ... + 4744.

22029480 is an apocalyptic number.

2029480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029480 is an abundant number, since it is smaller than the sum of its proper divisors (2587520).

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

2029480 is a wasteful number, since it uses less digits than its factorization.

2029480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

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

The square root of 2029480 is about 1424.5981889642. The cubic root of 2029480 is about 126.6081293077.

The spelling of 2029480 in words is "two million, twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 113 226 449 452 565 898 904 1130 1796 2245 2260 3592 4490 4520 8980 17960 50737 101474 202948 253685 405896 507370 1014740 2029480