Search a number
-
+
1528098040 = 2357172511279
BaseRepresentation
bin101101100010100…
…1110110011111000
310221111101102102201
41123011032303320
511112143114130
6411344235544
752603422220
oct13305166370
93844342381
101528098040
11714631747
1236790bbb4
131b477c631
14106d39080
158e249bca
hex5b14ecf8

1528098040 has 128 divisors (see below), whose sum is σ = 4180377600. Its totient is φ = 490752000.

The previous prime is 1528097999. The next prime is 1528098079. The reversal of 1528098040 is 408908251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194121 + ... + 1195399.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 21528098040 is an apocalyptic number.

1528098040 is a gapful number since it is divisible by the number (10) 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 1528098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1528098040 is an abundant number, since it is smaller than the sum of its proper divisors (2652279560).

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

1528098040 is a wasteful number, since it uses less digits than its factorization.

1528098040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1528098040 is about 39090.8945919635. The cubic root of 1528098040 is about 1151.8176774700.

The spelling of 1528098040 in words is "one billion, five hundred twenty-eight million, ninety-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 251 280 340 476 502 595 680 952 1004 1190 1255 1279 1757 2008 2380 2510 2558 3514 4267 4760 5020 5116 6395 7028 8534 8785 8953 10040 10232 12790 14056 17068 17570 17906 21335 21743 25580 29869 34136 35140 35812 42670 43486 44765 51160 59738 70280 71624 85340 86972 89530 108715 119476 149345 152201 170680 173944 179060 217430 238952 298690 304402 321029 358120 434860 597380 608804 642058 761005 869720 1194760 1217608 1284116 1522010 1605145 2247203 2568232 3044020 3210290 4494406 5457493 6088040 6420580 8988812 10914986 11236015 12841160 17977624 21829972 22472030 27287465 38202451 43659944 44944060 54574930 76404902 89888120 109149860 152809804 191012255 218299720 305619608 382024510 764049020 1528098040