Search a number
-
+
3687427380 = 2235721396479
BaseRepresentation
bin1101101111001001…
…1010110100110100
3100111222112201102110
43123302122310310
530022440134010
61405522211020
7160243421100
oct33362326464
910458481373
103687427380
11162250284a
1286aab3a70
13469c410c0
1426da2a900
15168ad1120
hexdbc9ad34

3687427380 has 144 divisors (see below), whose sum is σ = 12934494720. Its totient is φ = 777998592.

The previous prime is 3687427361. The next prime is 3687427391. The reversal of 3687427380 is 837247863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10020 + ... + 86459.

It is an arithmetic number, because the mean of its divisors is an integer number (89822880).

Almost surely, 23687427380 is an apocalyptic number.

3687427380 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 3687427380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467247360).

3687427380 is an abundant number, since it is smaller than the sum of its proper divisors (9247067340).

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

3687427380 is a wasteful number, since it uses less digits than its factorization.

3687427380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96518 (or 96509 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3687427380 is about 60724.1910608943. The cubic root of 3687427380 is about 1544.9265096326.

The spelling of 3687427380 in words is "three billion, six hundred eighty-seven million, four hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 96479 192958 289437 385916 482395 578874 675353 964790 1157748 1254227 1350706 1447185 1929580 2026059 2508454 2701412 2894370 3376765 3762681 4052118 4727471 5016908 5788740 6271135 6753530 7525362 8104236 8779589 9454942 10130295 12542270 13507060 14182413 15050724 17559178 18813405 18909884 20260590 23637355 25084540 26338767 28364826 35118356 37626810 40521180 43897945 47274710 52677534 56729652 61457123 70912065 75253620 87795890 94549420 105355068 122914246 131693835 141824130 175591780 184371369 245828492 263387670 283648260 307285615 368742738 526775340 614571230 737485476 921856845 1229142460 1843713690 3687427380