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1401354720 = 253257313331
BaseRepresentation
bin101001110000110…
…1111100111100000
310121122220012021200
41103201233213200
510332221322340
6351015521200
746504214163
oct12341574740
93548805250
101401354720
1165a0345a7
12331389200
1319443429c
14d4185ada
1583061330
hex5386f9e0

1401354720 has 144 divisors (see below), whose sum is σ = 4847995152. Its totient is φ = 368547840.

The previous prime is 1401354701. The next prime is 1401354743. The reversal of 1401354720 is 274531041.

1401354720 is digitally balanced in base 4, 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98455 + ... + 111785.

It is an arithmetic number, because the mean of its divisors is an integer number (33666633).

Almost surely, 21401354720 is an apocalyptic number.

1401354720 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 1401354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423997576).

1401354720 is an abundant number, since it is smaller than the sum of its proper divisors (3446640432).

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

1401354720 is a wasteful number, since it uses less digits than its factorization.

1401354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1401354720 is about 37434.6726979147. The cubic root of 1401354720 is about 1119.0496615373.

Adding to 1401354720 its reverse (274531041), we get a palindrome (1675885761).

The spelling of 1401354720 in words is "one billion, four hundred one million, three hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 13331 17520 21024 26280 26662 35040 39993 52560 53324 66655 79986 105120 106648 119979 133310 159972 199965 213296 239958 266620 319944 399930 426592 479916 533240 599895 639888 799860 959832 973163 1066480 1199790 1279776 1599720 1919664 1946326 2132960 2399580 2919489 3199440 3839328 3892652 4799160 4865815 5838978 6398880 7785304 8758467 9598320 9731630 11677956 14597445 15570608 17516934 19196640 19463260 23355912 29194890 31141216 35033868 38926520 43792335 46711824 58389780 70067736 77853040 87584670 93423648 116779560 140135472 155706080 175169340 233559120 280270944 350338680 467118240 700677360 1401354720