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28972980 = 22325533037
BaseRepresentation
bin110111010000…
…1011110110100
32000111222110100
41232201132310
524404113410
62512554100
7501160221
oct156413664
960458410
1028972980
1115399913
129852930
13600569a
143bc2948
1528248c0
hex1ba17b4

28972980 has 72 divisors (see below), whose sum is σ = 89572392. Its totient is φ = 7577856.

The previous prime is 28972969. The next prime is 28972991. The reversal of 28972980 is 8927982.

It is an interprime number because it is at equal distance from previous prime (28972969) and next prime (28972991).

It can be written as a sum of positive squares in 4 ways, for example, as 9998244 + 18974736 = 3162^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8022 + ... + 11058.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 228972980 is an apocalyptic number.

28972980 is a gapful number since it is divisible by the number (20) 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 28972980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786196).

28972980 is an abundant number, since it is smaller than the sum of its proper divisors (60599412).

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

28972980 is a wasteful number, since it uses less digits than its factorization.

28972980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 28972980 is about 5382.6554784790. The cubic root of 28972980 is about 307.1362345272.

The spelling of 28972980 in words is "twenty-eight million, nine hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3037 3180 4770 6074 9111 9540 12148 15185 18222 27333 30370 36444 45555 54666 60740 91110 109332 136665 160961 182220 273330 321922 482883 546660 643844 804805 965766 1448649 1609610 1931532 2414415 2897298 3219220 4828830 5794596 7243245 9657660 14486490 28972980