Search a number
-
+
391383040 = 2115371033
BaseRepresentation
bin10111010101000…
…000100000000000
31000021110022121011
4113111000200000
51300143224130
6102500410304
712461462266
oct2725004000
91007408534
10391383040
11190a1a964
12ab0a6994
13631153c9
1439da0436
152456052a
hex17540800

391383040 has 96 divisors (see below), whose sum is σ = 965404440. Its totient is φ = 152174592.

The previous prime is 391383023. The next prime is 391383059. The reversal of 391383040 is 40383193.

It can be written as a sum of positive squares in 4 ways, for example, as 389825536 + 1557504 = 19744^2 + 1248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 391382993 and 391383011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378364 + ... + 379396.

Almost surely, 2391383040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482702220).

391383040 is an abundant number, since it is smaller than the sum of its proper divisors (574021400).

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

391383040 is a wasteful number, since it uses less digits than its factorization.

391383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 391383040 is about 19783.4031450608. The cubic root of 391383040 is about 731.4769871225.

The spelling of 391383040 in words is "three hundred ninety-one million, three hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1033 1184 1280 1480 2048 2066 2368 2560 2960 4132 4736 5120 5165 5920 8264 9472 10240 10330 11840 16528 18944 20660 23680 33056 37888 38221 41320 47360 66112 75776 76442 82640 94720 132224 152884 165280 189440 191105 264448 305768 330560 378880 382210 528896 611536 661120 764420 1057792 1223072 1322240 1528840 2115584 2446144 2644480 3057680 4892288 5288960 6115360 9784576 10577920 12230720 19569152 24461440 39138304 48922880 78276608 97845760 195691520 391383040