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2151984 = 243107419
BaseRepresentation
bin1000001101011000110000
311001022222010
420031120300
51022330414
6114042520
724202002
oct10153060
94038863
102151984
11123a8aa
12879440
135a4683
14400372
152c7959
hex20d630

2151984 has 40 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 708928.

The previous prime is 2151977. The next prime is 2151991. The reversal of 2151984 is 4891512.

It is a happy number.

2151984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2151977) and next prime (2151991).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4927 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

22151984 is an apocalyptic number.

2151984 is a gapful number since it is divisible by the number (24) 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 2151984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2151984 is an abundant number, since it is smaller than the sum of its proper divisors (3472656).

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

2151984 is a wasteful number, since it uses less digits than its factorization.

2151984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 2151984 is about 1466.9642122424. The cubic root of 2151984 is about 129.1059762519.

The spelling of 2151984 in words is "two million, one hundred fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 419 428 642 838 856 1257 1284 1676 1712 2514 2568 3352 5028 5136 6704 10056 20112 44833 89666 134499 179332 268998 358664 537996 717328 1075992 2151984