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121723840 = 265731109
BaseRepresentation
bin1110100000101…
…01101111000000
322111001012201101
413100111233000
5222130130330
620024544144
73005431000
oct720255700
9274035641
10121723840
1162789a17
1234922054
131c2ab754
1412248000
15aa464ca
hex7415bc0

121723840 has 112 divisors (see below), whose sum is σ = 338328000. Its totient is φ = 41696256.

The previous prime is 121723837. The next prime is 121723867. The reversal of 121723840 is 48327121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 121723799 and 121723808.

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, 109206 + ... + 110314.

Almost surely, 2121723840 is an apocalyptic number.

121723840 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 121723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169164000).

121723840 is an abundant number, since it is smaller than the sum of its proper divisors (216604160).

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

121723840 is an equidigital number, since it uses as much as digits as its factorization.

121723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 121723840 is about 11032.8527589196. The cubic root of 121723840 is about 495.5930585173.

The spelling of 121723840 in words is "one hundred twenty-one million, seven hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 980 1109 1120 1372 1568 1715 1960 2218 2240 2744 3136 3430 3920 4436 5488 5545 6860 7763 7840 8872 10976 11090 13720 15526 15680 17744 21952 22180 27440 31052 35488 38815 44360 54341 54880 62104 70976 77630 88720 108682 109760 124208 155260 177440 217364 248416 271705 310520 354880 380387 434728 496832 543410 621040 760774 869456 1086820 1242080 1521548 1738912 1901935 2173640 2484160 3043096 3477824 3803870 4347280 6086192 7607740 8694560 12172384 15215480 17389120 24344768 30430960 60861920 121723840