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11438700 = 22352713419
BaseRepresentation
bin101011101000…
…101001101100
3210112010221120
4223220221230
510412014300
61045100540
7166140660
oct53505154
923463846
1011438700
116503079
1239b7750
1324a6680
14173a8a0
15100e3a0
hexae8a6c

11438700 has 144 divisors (see below), whose sum is σ = 40830720. Its totient is φ = 2407680.

The previous prime is 11438689. The next prime is 11438701. The reversal of 11438700 is 783411.

11438700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11438701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27091 + ... + 27509.

Almost surely, 211438700 is an apocalyptic number.

11438700 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 11438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415360).

11438700 is an abundant number, since it is smaller than the sum of its proper divisors (29392020).

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

11438700 is a wasteful number, since it uses less digits than its factorization.

11438700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11438700 is about 3382.1147230690. The cubic root of 11438700 is about 225.3160989196.

The spelling of 11438700 in words is "eleven million, four hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 419 420 455 525 546 650 700 780 838 910 975 1050 1092 1257 1300 1365 1676 1820 1950 2095 2100 2275 2514 2730 2933 3900 4190 4550 5028 5447 5460 5866 6285 6825 8380 8799 9100 10475 10894 11732 12570 13650 14665 16341 17598 20950 21788 25140 27235 27300 29330 31425 32682 35196 38129 41900 43995 54470 58660 62850 65364 73325 76258 81705 87990 108940 114387 125700 136175 146650 152516 163410 175980 190645 219975 228774 272350 293300 326820 381290 408525 439950 457548 544700 571935 762580 817050 879900 953225 1143870 1634100 1906450 2287740 2859675 3812900 5719350 11438700