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103061360 = 24529311433
BaseRepresentation
bin1100010010010…
…01011101110000
321011221001121102
412021021131300
5202340430420
614120543532
72361002303
oct611113560
9234831542
10103061360
11531a2586
122a621ba8
131847606c
14d98ab3a
1590aba75
hex6249770

103061360 has 80 divisors (see below), whose sum is σ = 256055040. Its totient is φ = 38492160.

The previous prime is 103061359. The next prime is 103061381. The reversal of 103061360 is 63160301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71204 + ... + 72636.

It is an arithmetic number, because the mean of its divisors is an integer number (3200688).

Almost surely, 2103061360 is an apocalyptic number.

103061360 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 103061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128027520).

103061360 is an abundant number, since it is smaller than the sum of its proper divisors (152993680).

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

103061360 is a wasteful number, since it uses less digits than its factorization.

103061360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 103061360 is about 10151.9141052316. The cubic root of 103061360 is about 468.8478797677.

The spelling of 103061360 in words is "one hundred three million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1433 1798 2320 2480 2866 3596 4495 5732 7165 7192 8990 11464 14330 14384 17980 22928 28660 35960 41557 44423 57320 71920 83114 88846 114640 166228 177692 207785 222115 332456 355384 415570 444230 664912 710768 831140 888460 1288267 1662280 1776920 2576534 3324560 3553840 5153068 6441335 10306136 12882670 20612272 25765340 51530680 103061360