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38697840 = 2432571757
BaseRepresentation
bin1001001110011…
…1101101110000
32200211001110100
42103213231300
534401312330
63501232400
7646632456
oct223475560
980731410
1038697840
111a931295
1210b62700
13802bc3c
1451d49d6
1535e6060
hex24e7b70

38697840 has 120 divisors (see below), whose sum is σ = 131964768. Its totient is φ = 10160640.

The previous prime is 38697839. The next prime is 38697871. The reversal of 38697840 is 4879683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50742 + ... + 51498.

Almost surely, 238697840 is an apocalyptic number.

38697840 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 38697840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65982384).

38697840 is an abundant number, since it is smaller than the sum of its proper divisors (93266928).

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

38697840 is a wasteful number, since it uses less digits than its factorization.

38697840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38697840 is about 6220.7587961598. The cubic root of 38697840 is about 338.2430706066.

The spelling of 38697840 in words is "thirty-eight million, six hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 757 852 1065 1136 1278 1420 1514 1704 2130 2271 2556 2840 3028 3195 3408 3785 4260 4542 5112 5680 6056 6390 6813 7570 8520 9084 10224 11355 12112 12780 13626 15140 17040 18168 22710 25560 27252 30280 34065 36336 45420 51120 53747 54504 60560 68130 90840 107494 109008 136260 161241 181680 214988 268735 272520 322482 429976 483723 537470 545040 644964 806205 859952 967446 1074940 1289928 1612410 1934892 2149880 2418615 2579856 3224820 3869784 4299760 4837230 6449640 7739568 9674460 12899280 19348920 38697840