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1453770640 = 245717791933
BaseRepresentation
bin101011010100110…
…1100011110010000
310202022112012102001
41112221230132100
510434131130030
6400131203344
751011563240
oct12651543620
93668465361
101453770640
11686685443
12346a46554
131a225721a
14db10bb20
1587966cca
hex56a6c790

1453770640 has 160 divisors (see below), whose sum is σ = 4144020480. Its totient is φ = 462938112.

The previous prime is 1453770601. The next prime is 1453770671. The reversal of 1453770640 is 460773541.

It is a super-2 number, since 2×14537706402 = 4226898147452019200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453770640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751114 + ... + 753046.

It is an arithmetic number, because the mean of its divisors is an integer number (25900128).

Almost surely, 21453770640 is an apocalyptic number.

1453770640 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 1453770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072010240).

1453770640 is an abundant number, since it is smaller than the sum of its proper divisors (2690249840).

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

1453770640 is a wasteful number, since it uses less digits than its factorization.

1453770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 1453770640 is about 38128.3443123354. The cubic root of 1453770640 is about 1132.8314509832.

The spelling of 1453770640 in words is "one billion, four hundred fifty-three million, seven hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 79 80 85 112 119 136 140 158 170 238 272 280 316 340 395 476 553 560 595 632 680 790 952 1106 1190 1264 1343 1360 1580 1904 1933 2212 2380 2686 2765 3160 3866 4424 4760 5372 5530 6320 6715 7732 8848 9401 9520 9665 10744 11060 13430 13531 15464 18802 19330 21488 22120 26860 27062 30928 32861 37604 38660 44240 47005 53720 54124 65722 67655 75208 77320 94010 107440 108248 131444 135310 150416 152707 154640 164305 188020 216496 230027 262888 270620 305414 328610 376040 460054 525776 541240 610828 657220 752080 763535 920108 1068949 1082480 1150135 1221656 1314440 1527070 1840216 2137898 2300270 2443312 2596019 2628880 3054140 3680432 4275796 4600540 5192038 5344745 6108280 8551592 9201080 10384076 10689490 12216560 12980095 17103184 18172133 18402160 20768152 21378980 25960190 36344266 41536304 42757960 51920380 72688532 85515920 90860665 103840760 145377064 181721330 207681520 290754128 363442660 726885320 1453770640