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30977820 = 223251131523
BaseRepresentation
bin111011000101…
…0111100011100
32011021211120200
41312022330130
530412242240
63023543500
7524210226
oct166127434
964254520
1030977820
1116539105
12a45ab90
136558093
144185416
152abd930
hex1d8af1c

30977820 has 72 divisors (see below), whose sum is σ = 94859856. Its totient is φ = 8182272.

The previous prime is 30977753. The next prime is 30977831. The reversal of 30977820 is 2877903.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19579 + ... + 21101.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 230977820 is an apocalyptic number.

30977820 is a gapful number since it is divisible by the number (30) 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 30977820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).

30977820 is an abundant number, since it is smaller than the sum of its proper divisors (63882036).

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

30977820 is a wasteful number, since it uses less digits than its factorization.

30977820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 30977820 is about 5565.7721836238. The cubic root of 30977820 is about 314.0631271243.

The spelling of 30977820 in words is "thirty million, nine hundred seventy-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1523 1695 2034 2260 3046 3390 4068 4569 5085 6092 6780 7615 9138 10170 13707 15230 18276 20340 22845 27414 30460 45690 54828 68535 91380 137070 172099 274140 344198 516297 688396 860495 1032594 1548891 1720990 2065188 2581485 3097782 3441980 5162970 6195564 7744455 10325940 15488910 30977820