Search a number
-
+
103076640 = 25325471523
BaseRepresentation
bin1100010010011…
…01001100100000
321011221211120100
412021031030200
5202341423030
614121142400
72361064662
oct611151440
9234854510
10103076640
1153203007
122a62aa00
131847ccc4
14d992532
1590b1360
hex624d320

103076640 has 144 divisors (see below), whose sum is σ = 359468928. Its totient is φ = 26884608.

The previous prime is 103076609. The next prime is 103076647. The reversal of 103076640 is 46670301.

103076640 is a `hidden beast` number, since 10 + 3 + 0 + 7 + 6 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103076647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66919 + ... + 68441.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2103076640 is an apocalyptic number.

103076640 is a gapful number since it is divisible by the number (10) 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 103076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

103076640 is an abundant number, since it is smaller than the sum of its proper divisors (256392288).

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

103076640 is a wasteful number, since it uses less digits than its factorization.

103076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 103076640 is about 10152.6666447786. Note that the first 4 decimals coincide. The cubic root of 103076640 is about 468.8710492711.

The spelling of 103076640 in words is "one hundred three million, seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1523 1692 1880 2115 2256 2820 3046 3384 3760 4230 4512 4569 5640 6092 6768 7520 7615 8460 9138 11280 12184 13536 13707 15230 16920 18276 22560 22845 24368 27414 30460 33840 36552 45690 48736 54828 60920 67680 68535 71581 73104 91380 109656 121840 137070 143162 146208 182760 214743 219312 243680 274140 286324 357905 365520 429486 438624 548280 572648 644229 715810 731040 858972 1073715 1096560 1145296 1288458 1431620 1717944 2147430 2193120 2290592 2576916 2863240 3221145 3435888 4294860 5153832 5726480 6442290 6871776 8589720 10307664 11452960 12884580 17179440 20615328 25769160 34358880 51538320 103076640