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104626160 = 24517194049
BaseRepresentation
bin1100011110001…
…11011111110000
321021212120002222
412033013133300
5203241014120
614214300212
72410210352
oct617073760
9237776088
10104626160
1154071201
122b057668
13188a3392
14dc770d2
1592ba525
hex63c77f0

104626160 has 80 divisors (see below), whose sum is σ = 271188000. Its totient is φ = 37306368.

The previous prime is 104626153. The next prime is 104626169. The reversal of 104626160 is 61626401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104626169) 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, 23816 + ... + 27864.

It is an arithmetic number, because the mean of its divisors is an integer number (3389850).

Almost surely, 2104626160 is an apocalyptic number.

104626160 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 104626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135594000).

104626160 is an abundant number, since it is smaller than the sum of its proper divisors (166561840).

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

104626160 is a wasteful number, since it uses less digits than its factorization.

104626160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 104626160 is about 10228.6929761334. The cubic root of 104626160 is about 471.2088393106.

The spelling of 104626160 in words is "one hundred four million, six hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 4049 5168 6460 8098 12920 16196 20245 25840 32392 40490 64784 68833 76931 80980 137666 153862 161960 275332 307724 323920 344165 384655 550664 615448 688330 769310 1101328 1230896 1307827 1376660 1538620 2615654 2753320 3077240 5231308 5506640 6154480 6539135 10462616 13078270 20925232 26156540 52313080 104626160