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38723040 = 2532526891
BaseRepresentation
bin1001001110110…
…1110111100000
32200212100000200
42103231313200
534403114130
63501545200
7650066106
oct223556740
980770020
1038723040
111a949214
1210b75200
13803a555
1451ddc76
1535ed760
hex24edde0

38723040 has 72 divisors (see below), whose sum is σ = 132147288. Its totient is φ = 10325760.

The previous prime is 38723023. The next prime is 38723051. The reversal of 38723040 is 4032783.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 38722995 and 38723013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12006 + ... + 14885.

It is an arithmetic number, because the mean of its divisors is an integer number (1835379).

Almost surely, 238723040 is an apocalyptic number.

38723040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38723040 is an abundant number, since it is smaller than the sum of its proper divisors (93424248).

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

38723040 is a wasteful number, since it uses less digits than its factorization.

38723040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26912 (or 26901 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38723040 is about 6222.7839428989. The cubic root of 38723040 is about 338.3164758736.

The spelling of 38723040 in words is "thirty-eight million, seven hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 26891 53782 80673 107564 134455 161346 215128 242019 268910 322692 403365 430256 484038 537820 645384 806730 860512 968076 1075640 1210095 1290768 1613460 1936152 2151280 2420190 2581536 3226920 3872304 4302560 4840380 6453840 7744608 9680760 12907680 19361520 38723040