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2995920 = 243351973
BaseRepresentation
bin1011011011011011010000
312122012122000
423123123100
51231332140
6144114000
734315314
oct13333320
95565560
102995920
111766974
121005900
1380b845
1457db44
153e2a30
hex2db6d0

2995920 has 160 divisors (see below), whose sum is σ = 11011200. Its totient is φ = 746496.

The previous prime is 2995891. The next prime is 2995973. The reversal of 2995920 is 295992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41004 + ... + 41076.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

22995920 is an apocalyptic number.

2995920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2995920 is the 1095-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2995920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505600).

2995920 is an abundant number, since it is smaller than the sum of its proper divisors (8015280).

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

2995920 is a wasteful number, since it uses less digits than its factorization.

2995920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2995920 is about 1730.8726122970. The cubic root of 2995920 is about 144.1595453880.

The spelling of 2995920 in words is "two million, nine hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 73 76 80 90 95 108 114 120 135 144 146 152 171 180 190 216 219 228 240 270 285 292 304 342 360 365 380 432 438 456 513 540 570 584 657 684 720 730 760 855 876 912 1026 1080 1095 1140 1168 1314 1368 1387 1460 1520 1710 1752 1971 2052 2160 2190 2280 2565 2628 2736 2774 2920 3285 3420 3504 3942 4104 4161 4380 4560 5130 5256 5548 5840 6570 6840 6935 7884 8208 8322 8760 9855 10260 10512 11096 12483 13140 13680 13870 15768 16644 17520 19710 20520 20805 22192 24966 26280 27740 31536 33288 37449 39420 41040 41610 49932 52560 55480 62415 66576 74898 78840 83220 99864 110960 124830 149796 157680 166440 187245 199728 249660 299592 332880 374490 499320 599184 748980 998640 1497960 2995920