Search a number
-
+
2872920 = 233589269
BaseRepresentation
bin1010111101011001011000
312101221220110
422331121120
51213413140
6141324320
733263601
oct12753130
95357813
102872920
111692516
12b666a0
1379786b
1454ada8
153bb380
hex2bd658

2872920 has 64 divisors (see below), whose sum is σ = 8748000. Its totient is φ = 754688.

The previous prime is 2872897. The next prime is 2872921. The reversal of 2872920 is 292782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 10814.

22872920 is an apocalyptic number.

2872920 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 2872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374000).

2872920 is an abundant number, since it is smaller than the sum of its proper divisors (5875080).

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

2872920 is a wasteful number, since it uses less digits than its factorization.

2872920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2872920 is about 1694.9690262657. The cubic root of 2872920 is about 142.1590494540.

The spelling of 2872920 in words is "two million, eight hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 269 356 445 534 538 712 807 890 1068 1076 1335 1345 1614 1780 2136 2152 2670 2690 3228 3560 4035 5340 5380 6456 8070 10680 10760 16140 23941 32280 47882 71823 95764 119705 143646 191528 239410 287292 359115 478820 574584 718230 957640 1436460 2872920