Search a number
-
+
62820420 = 223513431873
BaseRepresentation
bin1110111110100…
…1000001000100
311101012121102020
43233221001010
5112040223140
610122243140
71361651625
oct357510104
9141177366
1062820420
1132507a03
12190564b0
1310026960
1484b3a4c
1557ad6d0
hex3be9044

62820420 has 96 divisors (see below), whose sum is σ = 193936512. Its totient is φ = 15095808.

The previous prime is 62820419. The next prime is 62820437. The reversal of 62820420 is 2402826.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32604 + ... + 34476.

It is an arithmetic number, because the mean of its divisors is an integer number (2020172).

Almost surely, 262820420 is an apocalyptic number.

62820420 is a gapful number since it is divisible by the number (60) 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 62820420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96968256).

62820420 is an abundant number, since it is smaller than the sum of its proper divisors (131116092).

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

62820420 is a wasteful number, since it uses less digits than its factorization.

62820420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 62820420 is about 7925.9333835202. The cubic root of 62820420 is about 397.5272873954.

The spelling of 62820420 in words is "sixty-two million, eight hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 1873 2236 2580 2795 3354 3746 5590 5619 6708 7492 8385 9365 11180 11238 16770 18730 22476 24349 28095 33540 37460 48698 56190 73047 80539 97396 112380 121745 146094 161078 241617 243490 292188 322156 365235 402695 483234 486980 730470 805390 966468 1047007 1208085 1460940 1610780 2094014 2416170 3141021 4188028 4832340 5235035 6282042 10470070 12564084 15705105 20940140 31410210 62820420