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1037401420 = 2251197173281
BaseRepresentation
bin111101110101010…
…111110101001100
32200022001110012211
4331311113311030
54111033321140
6250535040204
734464523636
oct7565276514
92608043184
101037401420
1149264a050
1224b510064
13136c03cc3
149bac5a56
156111d2ea
hex3dd57d4c

1037401420 has 96 divisors (see below), whose sum is σ = 2423566656. Its totient is φ = 369868800.

The previous prime is 1037401399. The next prime is 1037401471. The reversal of 1037401420 is 241047301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1037401391 and 1037401400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3691680 + ... + 3691960.

It is an arithmetic number, because the mean of its divisors is an integer number (25245486).

Almost surely, 21037401420 is an apocalyptic number.

1037401420 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 1037401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211783328).

1037401420 is an abundant number, since it is smaller than the sum of its proper divisors (1386165236).

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

1037401420 is a wasteful number, since it uses less digits than its factorization.

1037401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1037401420 is about 32208.7165220845. The cubic root of 1037401420 is about 1012.3148616426.

Adding to 1037401420 its reverse (241047301), we get a palindrome (1278448721).

The spelling of 1037401420 in words is "one billion, thirty-seven million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 173 194 220 281 346 388 485 562 692 865 970 1067 1124 1405 1730 1903 1940 2134 2810 3091 3460 3806 4268 5335 5620 6182 7612 9515 10670 12364 15455 16781 19030 21340 27257 30910 33562 38060 48613 54514 61820 67124 83905 97226 109028 136285 167810 184591 194452 243065 272570 299827 335620 369182 486130 534743 545140 599654 738364 922955 972260 1069486 1199308 1499135 1845910 2138972 2673715 2998270 3691820 4715461 5347430 5996540 9430922 10694860 18861844 23577305 47154610 51870071 94309220 103740142 207480284 259350355 518700710 1037401420