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389697120 = 253251715919
BaseRepresentation
bin10111001110100…
…100111001100000
31000011021122221200
4113032210321200
51244230301440
6102400321200
712441241131
oct2716447140
91004248850
10389697120
1118aa7923a
12aa613200
1362974c17
1439a81c88
152432ac30
hex173a4e60

389697120 has 144 divisors (see below), whose sum is σ = 1408155840. Its totient is φ = 97800192.

The previous prime is 389697107. The next prime is 389697151. The reversal of 389697120 is 21796983.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16521 + ... + 32439.

It is an arithmetic number, because the mean of its divisors is an integer number (9778860).

Almost surely, 2389697120 is an apocalyptic number.

389697120 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 389697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704077920).

389697120 is an abundant number, since it is smaller than the sum of its proper divisors (1018458720).

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

389697120 is a wasteful number, since it uses less digits than its factorization.

389697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15957 (or 15946 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 389697120 is about 19740.7477062040. The cubic root of 389697120 is about 730.4251729733.

The spelling of 389697120 in words is "three hundred eighty-nine million, six hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 15919 24480 31838 47757 63676 79595 95514 127352 143271 159190 191028 238785 254704 270623 286542 318380 382056 477570 509408 541246 573084 636760 716355 764112 811869 955140 1082492 1146168 1273520 1353115 1432710 1528224 1623738 1910280 2164984 2292336 2435607 2547040 2706230 2865420 3247476 3820560 4059345 4329968 4584672 4871214 5412460 5730840 6494952 7641120 8118690 8659936 9742428 10824920 11461680 12178035 12989904 16237380 19484856 21649840 22923360 24356070 25979808 32474760 38969712 43299680 48712140 64949520 77939424 97424280 129899040 194848560 389697120