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38026680 = 23354159131
BaseRepresentation
bin1001000100001…
…1110110111000
32122112221210120
42101003312320
534213323210
63435013240
7641135646
oct221036670
978487716
1038026680
111a51300a
121089a220
137b555c3
14509c196
153512270
hex2443db8

38026680 has 128 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 9651200.

The previous prime is 38026643. The next prime is 38026687. The reversal of 38026680 is 8662083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38026687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290215 + ... + 290345.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 238026680 is an apocalyptic number.

38026680 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 38026680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

38026680 is an abundant number, since it is smaller than the sum of its proper divisors (81723720).

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

38026680 is a wasteful number, since it uses less digits than its factorization.

38026680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38026680 is about 6166.5776570153. The cubic root of 38026680 is about 336.2762042936.

The spelling of 38026680 in words is "thirty-eight million, twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 59 60 82 118 120 123 131 164 177 205 236 246 262 295 328 354 393 410 472 492 524 590 615 655 708 786 820 885 984 1048 1180 1230 1310 1416 1572 1640 1770 1965 2360 2419 2460 2620 3144 3540 3930 4838 4920 5240 5371 7080 7257 7729 7860 9676 10742 12095 14514 15458 15720 16113 19352 21484 23187 24190 26855 29028 30916 32226 36285 38645 42968 46374 48380 53710 58056 61832 64452 72570 77290 80565 92748 96760 107420 115935 128904 145140 154580 161130 185496 214840 231870 290280 309160 316889 322260 463740 633778 644520 927480 950667 1267556 1584445 1901334 2535112 3168890 3802668 4753335 6337780 7605336 9506670 12675560 19013340 38026680