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2948940 = 2233543127
BaseRepresentation
bin1011001111111101001100
312112211012000
423033331030
51223331230
6143112300
734031331
oct13177514
95484160
102948940
111734645
12ba2690
137c3347
1456a988
153d3b60
hex2cff4c

2948940 has 96 divisors (see below), whose sum is σ = 9461760. Its totient is φ = 762048.

The previous prime is 2948929. The next prime is 2948951. The reversal of 2948940 is 498492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2948929) and next prime (2948951).

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

It is a junction number, because it is equal to n+sod(n) for n = 2948895 and 2948904.

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, 23157 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (98560).

22948940 is an apocalyptic number.

2948940 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 2948940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730880).

2948940 is an abundant number, since it is smaller than the sum of its proper divisors (6512820).

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

2948940 is a wasteful number, since it uses less digits than its factorization.

2948940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2948940 is about 1717.2477980769. The cubic root of 2948940 is about 143.4020342493.

The spelling of 2948940 in words is "two million, nine hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 127 129 135 172 180 215 254 258 270 381 387 430 508 516 540 635 645 762 774 860 1143 1161 1270 1290 1524 1548 1905 1935 2286 2322 2540 2580 3429 3810 3870 4572 4644 5461 5715 5805 6858 7620 7740 10922 11430 11610 13716 16383 17145 21844 22860 23220 27305 32766 34290 49149 54610 65532 68580 81915 98298 109220 147447 163830 196596 245745 294894 327660 491490 589788 737235 982980 1474470 2948940