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2150640 = 2432529103
BaseRepresentation
bin1000001101000011110000
311001021010100
420031003300
51022310030
6114032400
724165042
oct10150360
94037110
102150640
111239898
12878700
135a3b8b
143dda92
152c7360
hex20d0f0

2150640 has 120 divisors (see below), whose sum is σ = 7544160. Its totient is φ = 548352.

The previous prime is 2150639. The next prime is 2150641. The reversal of 2150640 is 460512.

It is a happy number.

2150640 is a `hidden beast` number, since 21 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2150639) and next prime (2150641).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150641) 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, 20829 + ... + 20931.

It is an arithmetic number, because the mean of its divisors is an integer number (62868).

22150640 is an apocalyptic number.

2150640 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 2150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772080).

2150640 is an abundant number, since it is smaller than the sum of its proper divisors (5393520).

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

2150640 is a wasteful number, since it uses less digits than its factorization.

2150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2150640 is about 1466.5060518116. The cubic root of 2150640 is about 129.0790933743.

The spelling of 2150640 in words is "two million, one hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 103 116 120 144 145 174 180 206 232 240 261 290 309 348 360 412 435 464 515 522 580 618 696 720 824 870 927 1030 1044 1160 1236 1305 1392 1545 1648 1740 1854 2060 2088 2320 2472 2610 2987 3090 3480 3708 4120 4176 4635 4944 5220 5974 6180 6960 7416 8240 8961 9270 10440 11948 12360 14832 14935 17922 18540 20880 23896 24720 26883 29870 35844 37080 44805 47792 53766 59740 71688 74160 89610 107532 119480 134415 143376 179220 215064 238960 268830 358440 430128 537660 716880 1075320 2150640