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1601098240 = 2957471901
BaseRepresentation
bin101111101101110…
…1101001000000000
311010120202012212211
41133123231020000
511234340120430
6422513031504
754451052620
oct13733551000
94116665784
101601098240
11751861895
12388255594
131c692b911
141128dc880
159586972a
hex5f6ed200

1601098240 has 160 divisors (see below), whose sum is σ = 4482998784. Its totient is φ = 536985600.

The previous prime is 1601098181. The next prime is 1601098273. The reversal of 1601098240 is 428901061.

It is a happy number.

1601098240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

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, 841290 + ... + 843190.

Almost surely, 21601098240 is an apocalyptic number.

1601098240 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 1601098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241499392).

1601098240 is an abundant number, since it is smaller than the sum of its proper divisors (2881900544).

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

1601098240 is an equidigital number, since it uses as much as digits as its factorization.

1601098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1601098240 is about 40013.7256450833. The cubic root of 1601098240 is about 1169.8746401836.

The spelling of 1601098240 in words is "one billion, six hundred one million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 512 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 1901 2240 2560 2632 3008 3290 3584 3760 3802 4480 5264 6016 6580 7520 7604 8960 9505 10528 12032 13160 13307 15040 15208 17920 19010 21056 24064 26320 26614 30080 30416 38020 42112 52640 53228 60160 60832 66535 76040 84224 89347 105280 106456 120320 121664 133070 152080 168448 178694 210560 212912 243328 266140 304160 357388 421120 425824 446735 486656 532280 608320 625429 714776 842240 851648 893470 973312 1064560 1216640 1250858 1429552 1703296 1786940 2129120 2433280 2501716 2859104 3127145 3406592 3573880 4258240 4866560 5003432 5718208 6254290 6813184 7147760 8516480 10006864 11436416 12508580 14295520 17032960 20013728 22872832 25017160 28591040 34065920 40027456 45745664 50034320 57182080 80054912 100068640 114364160 160109824 200137280 228728320 320219648 400274560 800549120 1601098240