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378987960 = 233513832927
BaseRepresentation
bin10110100101101…
…110010110111000
3222102010120202010
4112211232112320
51234010103320
6101335005520
712251226111
oct2645562670
9872116663
10378987960
11184a2429a
12a6b098a0
1360695640
1438495208
1523412ae0
hex1696e5b8

378987960 has 128 divisors (see below), whose sum is σ = 1239598080. Its totient is φ = 92133888.

The previous prime is 378987949. The next prime is 378987967. The reversal of 378987960 is 69789873.

It is a self number, because there is not a number n which added to its sum of digits gives 378987960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378987967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128017 + ... + 130943.

It is an arithmetic number, because the mean of its divisors is an integer number (9684360).

Almost surely, 2378987960 is an apocalyptic number.

378987960 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 378987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619799040).

378987960 is an abundant number, since it is smaller than the sum of its proper divisors (860610120).

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

378987960 is a wasteful number, since it uses less digits than its factorization.

378987960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 378987960 is about 19467.6131048467. The cubic root of 378987960 is about 723.6720582691.

The spelling of 378987960 in words is "three hundred seventy-eight million, nine hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 2927 3237 3320 4316 4980 5395 5854 6474 8632 8781 9960 10790 11708 12948 14635 16185 17562 21580 23416 25896 29270 32370 35124 38051 43160 43905 58540 64740 70248 76102 87810 114153 117080 129480 152204 175620 190255 228306 242941 304408 351240 380510 456612 485882 570765 728823 761020 913224 971764 1141530 1214705 1457646 1522040 1943528 2283060 2429410 2915292 3158233 3644115 4566120 4858820 5830584 6316466 7288230 9474699 9717640 12632932 14576460 15791165 18949398 25265864 29152920 31582330 37898796 47373495 63164660 75797592 94746990 126329320 189493980 378987960