Search a number
-
+
39430020 = 22357269349
BaseRepresentation
bin1001011001101…
…0011110000100
32202012020211010
42112122132010
540043230040
63525042220
7656102220
oct226323604
982166733
1039430020
11202913a3
1211256370
138227296
145345780
1536dce80
hex259a784

39430020 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 8953344.

The previous prime is 39430003. The next prime is 39430037. The reversal of 39430020 is 2003493.

It is an interprime number because it is at equal distance from previous prime (39430003) and next prime (39430037).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 112806 + ... + 113154.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 239430020 is an apocalyptic number.

39430020 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 39430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

39430020 is an abundant number, since it is smaller than the sum of its proper divisors (87577980).

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

39430020 is a wasteful number, since it uses less digits than its factorization.

39430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 39430020 is about 6279.3327671019. The cubic root of 39430020 is about 340.3629917932.

The spelling of 39430020 in words is "thirty-nine million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 269 349 420 538 698 807 1047 1076 1345 1396 1614 1745 1883 2094 2443 2690 3228 3490 3766 4035 4188 4886 5235 5380 5649 6980 7329 7532 8070 9415 9772 10470 11298 12215 14658 16140 18830 20940 22596 24430 28245 29316 36645 37660 48860 56490 73290 93881 112980 146580 187762 281643 375524 469405 563286 657167 938810 1126572 1314334 1408215 1877620 1971501 2628668 2816430 3285835 3943002 5632860 6571670 7886004 9857505 13143340 19715010 39430020