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380715540 = 223519521641
BaseRepresentation
bin10110101100010…
…100001000010100
3222112101100112120
4112230110020110
51234430344130
6101440015540
712302012562
oct2654241024
9875340476
10380715540
111859a4247
12a76015b0
1360b4ba8a
14387c4a32
1523654910
hex16b14214

380715540 has 96 divisors (see below), whose sum is σ = 1126016640. Its totient is φ = 95846400.

The previous prime is 380715539. The next prime is 380715611. The reversal of 380715540 is 45517083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593620 + ... + 594260.

It is an arithmetic number, because the mean of its divisors is an integer number (11729340).

Almost surely, 2380715540 is an apocalyptic number.

380715540 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 380715540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563008320).

380715540 is an abundant number, since it is smaller than the sum of its proper divisors (745301100).

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

380715540 is a wasteful number, since it uses less digits than its factorization.

380715540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 380715540 is about 19511.9332717186. The cubic root of 380715540 is about 724.7699880731.

The spelling of 380715540 in words is "three hundred eighty million, seven hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 521 570 641 1042 1140 1282 1563 1923 2084 2564 2605 3126 3205 3846 5210 6252 6410 7692 7815 9615 9899 10420 12179 12820 15630 19230 19798 24358 29697 31260 36537 38460 39596 48716 49495 59394 60895 73074 98990 118788 121790 146148 148485 182685 197980 243580 296970 333961 365370 593940 667922 730740 1001883 1335844 1669805 2003766 3339610 4007532 5009415 6345259 6679220 10018830 12690518 19035777 20037660 25381036 31726295 38071554 63452590 76143108 95178885 126905180 190357770 380715540