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1001402240 = 2753374643
BaseRepresentation
bin111011101100000…
…010111110000000
32120210022111121212
4323230002332000
54022324332430
6243211305252
733546531026
oct7354027600
92523274555
101001402240
114742a1363
1223b44b228
1312c60b507
1496dd4716
155cdabb95
hex3bb02f80

1001402240 has 64 divisors (see below), whose sum is σ = 2401598160. Its totient is φ = 399286272.

The previous prime is 1001402231. The next prime is 1001402243. The reversal of 1001402240 is 422041001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001402243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213359 + ... + 218001.

Almost surely, 21001402240 is an apocalyptic number.

1001402240 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 1001402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200799080).

1001402240 is an abundant number, since it is smaller than the sum of its proper divisors (1400195920).

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

1001402240 is an equidigital number, since it uses as much as digits as its factorization.

1001402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1001402240 is about 31644.9401958670. The cubic root of 1001402240 is about 1000.4671950281.

Adding to 1001402240 its reverse (422041001), we get a palindrome (1423443241).

The spelling of 1001402240 in words is "one billion, one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 640 674 1348 1685 2696 3370 4643 5392 6740 9286 10784 13480 18572 21568 23215 26960 37144 43136 46430 53920 74288 92860 107840 148576 185720 215680 297152 371440 594304 742880 1485760 1564691 2971520 3129382 6258764 7823455 12517528 15646910 25035056 31293820 50070112 62587640 100140224 125175280 200280448 250350560 500701120 1001402240