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2923920 = 2432531131
BaseRepresentation
bin1011001001110110010000
312111112212100
423021312100
51222031140
6142400400
733565356
oct13116620
95445770
102923920
11171786a
12b90100
137b4b3c
145617d6
153cb530
hex2c9d90

2923920 has 120 divisors (see below), whose sum is σ = 10213632. Its totient is φ = 748800.

The previous prime is 2923903. The next prime is 2923927. The reversal of 2923920 is 293292.

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

It is not an unprimeable number, because it can be changed into a prime (2923927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22255 + ... + 22385.

22923920 is an apocalyptic number.

2923920 is a gapful number since it is divisible by the number (20) 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 2923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106816).

2923920 is an abundant number, since it is smaller than the sum of its proper divisors (7289712).

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

2923920 is a wasteful number, since it uses less digits than its factorization.

With its successor (2923921) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (181).

2923920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2923920 is about 1709.9473676111. The cubic root of 2923920 is about 142.9953215416.

The spelling of 2923920 in words is "two million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 131 144 155 180 186 240 248 262 279 310 360 372 393 465 496 524 558 620 655 720 744 786 930 1048 1116 1179 1240 1310 1395 1488 1572 1860 1965 2096 2232 2358 2480 2620 2790 3144 3720 3930 4061 4464 4716 5240 5580 5895 6288 7440 7860 8122 9432 10480 11160 11790 12183 15720 16244 18864 20305 22320 23580 24366 31440 32488 36549 40610 47160 48732 60915 64976 73098 81220 94320 97464 121830 146196 162440 182745 194928 243660 292392 324880 365490 487320 584784 730980 974640 1461960 2923920