Search a number
-
+
102376960 = 295729197
BaseRepresentation
bin1100001101000…
…10011000000000
321010122021210021
412012202120000
5202202030320
614054143224
72352122050
oct606423000
9233567707
10102376960
1152875364
122a351b14
13182966aa
14d84d560
158ec3daa
hex61a2600

102376960 has 160 divisors (see below), whose sum is σ = 291677760. Its totient is φ = 33718272.

The previous prime is 102376957. The next prime is 102376961. The reversal of 102376960 is 69673201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102376961) 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, 519582 + ... + 519778.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 2102376960 is an apocalyptic number.

102376960 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 102376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

102376960 is an abundant number, since it is smaller than the sum of its proper divisors (189300800).

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

102376960 is an equidigital number, since it uses as much as digits as its factorization.

102376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 102376960 is about 10118.1500285378. The cubic root of 102376960 is about 467.8077472693.

The spelling of 102376960 in words is "one hundred two million, three hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 197 203 224 232 256 280 290 320 394 406 448 464 512 560 580 640 788 812 896 928 985 1015 1120 1160 1280 1379 1576 1624 1792 1856 1970 2030 2240 2320 2560 2758 3152 3248 3584 3712 3940 4060 4480 4640 5516 5713 6304 6496 6895 7424 7880 8120 8960 9280 11032 11426 12608 12992 13790 14848 15760 16240 17920 18560 22064 22852 25216 25984 27580 28565 31520 32480 37120 39991 44128 45704 50432 51968 55160 57130 63040 64960 74240 79982 88256 91408 100864 103936 110320 114260 126080 129920 159964 176512 182816 199955 220640 228520 252160 259840 319928 353024 365632 399910 441280 457040 504320 519680 639856 706048 731264 799820 882560 914080 1279712 1462528 1599640 1765120 1828160 2559424 2925056 3199280 3530240 3656320 5118848 6398560 7312640 10237696 12797120 14625280 20475392 25594240 51188480 102376960