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1896960 = 29351319
BaseRepresentation
bin111001111001000000000
310120101010210
413033020000
5441200320
6104354120
722060332
oct7171000
93511123
101896960
11108623a
12775940
13515580
14375452
152770e0
hex1cf200

1896960 has 160 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 442368.

The previous prime is 1896959. The next prime is 1896989. The reversal of 1896960 is 696981.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99831 + ... + 99849.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

21896960 is an apocalyptic number.

1896960 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 1896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

1896960 is an abundant number, since it is smaller than the sum of its proper divisors (4977600).

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

1896960 is a wasteful number, since it uses less digits than its factorization.

1896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1896960 is about 1377.3017098661. The cubic root of 1896960 is about 123.7901410439.

The spelling of 1896960 in words is "one million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 256 260 285 304 312 320 380 384 390 416 456 480 494 512 520 570 608 624 640 741 760 768 780 832 912 960 988 1040 1140 1216 1235 1248 1280 1482 1520 1536 1560 1664 1824 1920 1976 2080 2280 2432 2470 2496 2560 2964 3040 3120 3328 3648 3705 3840 3952 4160 4560 4864 4940 4992 5928 6080 6240 6656 7296 7410 7680 7904 8320 9120 9728 9880 9984 11856 12160 12480 14592 14820 15808 16640 18240 19760 19968 23712 24320 24960 29184 29640 31616 33280 36480 39520 47424 48640 49920 59280 63232 72960 79040 94848 99840 118560 126464 145920 158080 189696 237120 316160 379392 474240 632320 948480 1896960