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381215680 = 2653183463
BaseRepresentation
bin10110101110001…
…110001111000000
3222120022202121021
4112232032033000
51240042400210
6101454435224
712306164656
oct2656161700
9876282537
10381215680
11186205a8a
12a7802b14
1360c95611
14388b4dd6
1523702bda
hex16b8e3c0

381215680 has 112 divisors (see below), whose sum is σ = 950390784. Its totient is φ = 145474560.

The previous prime is 381215671. The next prime is 381215689. The reversal of 381215680 is 86512183.

It is an interprime number because it is at equal distance from previous prime (381215671) and next prime (381215689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381215689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823129 + ... + 823591.

It is an arithmetic number, because the mean of its divisors is an integer number (8485632).

Almost surely, 2381215680 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 381215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475195392).

381215680 is an abundant number, since it is smaller than the sum of its proper divisors (569175104).

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

381215680 is a wasteful number, since it uses less digits than its factorization.

381215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 381215680 is about 19524.7453248435. The cubic root of 381215680 is about 725.0872221657.

The spelling of 381215680 in words is "three hundred eighty-one million, two hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 155 160 166 248 310 320 332 415 463 496 620 664 830 926 992 1240 1328 1660 1852 1984 2315 2480 2573 2656 3320 3704 4630 4960 5146 5312 6640 7408 9260 9920 10292 12865 13280 14353 14816 18520 20584 25730 26560 28706 29632 37040 38429 41168 51460 57412 71765 74080 76858 82336 102920 114824 143530 148160 153716 164672 192145 205840 229648 287060 307432 384290 411680 459296 574120 614864 768580 823360 918592 1148240 1191299 1229728 1537160 2296480 2382598 2459456 3074320 4592960 4765196 5956495 6148640 9530392 11912990 12297280 19060784 23825980 38121568 47651960 76243136 95303920 190607840 381215680