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1453469040 = 243258272441
BaseRepresentation
bin101011010100010…
…0010110101110000
310202021221212200200
41112220202311300
510434042002130
6400120515200
751006166032
oct12650426560
93667855620
101453469040
11686499891
1234691bb00
131a217cb6a
14db06dc52
1587907760
hex56a22d70

1453469040 has 120 divisors (see below), whose sum is σ = 4889137968. Its totient is φ = 386964480.

The previous prime is 1453469029. The next prime is 1453469051. The reversal of 1453469040 is 409643541.

It is an interprime number because it is at equal distance from previous prime (1453469029) and next prime (1453469051).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14534690402 = 4225144500477043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1453468986 and 1453469004.

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, 594220 + ... + 596660.

Almost surely, 21453469040 is an apocalyptic number.

1453469040 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 1453469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444568984).

1453469040 is an abundant number, since it is smaller than the sum of its proper divisors (3435668928).

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

1453469040 is a wasteful number, since it uses less digits than its factorization.

1453469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1453469040 is about 38124.3890442850. The cubic root of 1453469040 is about 1132.7531063012.

The spelling of 1453469040 in words is "one billion, four hundred fifty-three million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 827 1654 2441 2481 3308 4135 4882 4962 6616 7323 7443 8270 9764 9924 12205 12405 13232 14646 14886 16540 19528 19848 21969 24410 24810 29292 29772 33080 36615 37215 39056 39696 43938 48820 49620 58584 59544 66160 73230 74430 87876 97640 99240 109845 117168 119088 146460 148860 175752 195280 198480 219690 292920 297720 351504 439380 585840 595440 878760 1757520 2018707 4037414 6056121 8074828 10093535 12112242 16149656 18168363 20187070 24224484 30280605 32299312 36336726 40374140 48448968 60561210 72673452 80748280 90841815 96897936 121122420 145346904 161496560 181683630 242244840 290693808 363367260 484489680 726734520 1453469040