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1141680 = 24356771
BaseRepresentation
bin100010110101110110000
32011000002110
410112232300
5243013210
640245320
712463341
oct4265660
92130073
101141680
1170a841
12470840
1330c867
1421a0c8
15178420
hex116bb0

1141680 has 80 divisors (see below), whose sum is σ = 3642624. Its totient is φ = 295680.

The previous prime is 1141667. The next prime is 1141717. The reversal of 1141680 is 861411.

1141680 = T49 + T50 + ... + T190.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

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, 16045 + ... + 16115.

21141680 is an apocalyptic number.

1141680 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 1141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312).

1141680 is an abundant number, since it is smaller than the sum of its proper divisors (2500944).

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

1141680 is a wasteful number, since it uses less digits than its factorization.

1141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1141680 is about 1068.4942676496. The cubic root of 1141680 is about 104.5156833371.

The spelling of 1141680 in words is "one million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 71 80 120 134 142 201 213 240 268 284 335 355 402 426 536 568 670 710 804 852 1005 1065 1072 1136 1340 1420 1608 1704 2010 2130 2680 2840 3216 3408 4020 4260 4757 5360 5680 8040 8520 9514 14271 16080 17040 19028 23785 28542 38056 47570 57084 71355 76112 95140 114168 142710 190280 228336 285420 380560 570840 1141680