Search a number
-
+
290087232 = 2632953983
BaseRepresentation
bin10001010010100…
…110000101000000
3202012211221212120
4101102212011000
51043230242412
644441324240
710121462241
oct2122460500
9665757776
10290087232
11139823916
1281196680
1348139b66
142a752cc8
151a701b8c
hex114a6140

290087232 has 112 divisors (see below), whose sum is σ = 809792640. Its totient is φ = 91506688.

The previous prime is 290087207. The next prime is 290087257. The reversal of 290087232 is 232780092.

It is an interprime number because it is at equal distance from previous prime (290087207) and next prime (290087257).

It is a junction number, because it is equal to n+sod(n) for n = 290087193 and 290087202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294613 + ... + 295595.

Almost surely, 2290087232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404896320).

290087232 is an abundant number, since it is smaller than the sum of its proper divisors (519705408).

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

290087232 is a wasteful number, since it uses less digits than its factorization.

290087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 290087232 is about 17031.9473930611. The cubic root of 290087232 is about 661.9769557183.

The spelling of 290087232 in words is "two hundred ninety million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 159 174 192 212 232 318 348 424 464 636 696 848 928 983 1272 1392 1537 1696 1856 1966 2544 2784 2949 3074 3392 3932 4611 5088 5568 5898 6148 7864 9222 10176 11796 12296 15728 18444 23592 24592 28507 31456 36888 47184 49184 52099 57014 62912 73776 85521 94368 98368 104198 114028 147552 156297 171042 188736 208396 228056 295104 312594 342084 416792 456112 625188 684168 833584 912224 1250376 1368336 1510871 1667168 1824448 2500752 2736672 3021742 3334336 4532613 5001504 5473344 6043484 9065226 10003008 12086968 18130452 24173936 36260904 48347872 72521808 96695744 145043616 290087232