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36857340 = 223251319829
BaseRepresentation
bin1000110010011…
…0010111111100
32120100112202200
42030212113330
533413413330
63353551500
7625165542
oct214462774
976315680
1036857340
1119894513
1210415590
1378362a0
144c75d92
153380a60
hex23265fc

36857340 has 144 divisors (see below), whose sum is σ = 126890400. Its totient is φ = 8584704.

The previous prime is 36857333. The next prime is 36857351. The reversal of 36857340 is 4375863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36857295 and 36857304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44046 + ... + 44874.

Almost surely, 236857340 is an apocalyptic number.

36857340 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 36857340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63445200).

36857340 is an abundant number, since it is smaller than the sum of its proper divisors (90033060).

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

36857340 is a wasteful number, since it uses less digits than its factorization.

36857340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 36857340 is about 6071.0246252177. The cubic root of 36857340 is about 332.7933680069.

It can be divided in two parts, 3685 and 7340, that added together give a square (11025 = 1052).

The spelling of 36857340 in words is "thirty-six million, eight hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 829 855 988 1140 1170 1235 1482 1658 1710 2223 2340 2470 2487 2964 3316 3420 3705 4145 4446 4940 4974 7410 7461 8290 8892 9948 10777 11115 12435 14820 14922 15751 16580 21554 22230 24870 29844 31502 32331 37305 43108 44460 47253 49740 53885 63004 64662 74610 78755 94506 96993 107770 129324 141759 149220 157510 161655 189012 193986 204763 215540 236265 283518 315020 323310 387972 409526 472530 484965 567036 614289 646620 708795 819052 945060 969930 1023815 1228578 1417590 1842867 1939860 2047630 2457156 2835180 3071445 3685734 4095260 6142890 7371468 9214335 12285780 18428670 36857340