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290470428720 = 243252913911419
BaseRepresentation
bin1000011101000010110…
…00110000000000110000
31000202202101100122111200
410032201120300000300
514224340412204340
6341235033211200
726662061622603
oct4164130600060
91022671318450
10290470428720
11102207a9135a
1248365b60b00
1321511741734
14100b767833a
157850c77330
hex43a1630030

290470428720 has 120 divisors (see below), whose sum is σ = 1009134406800. Its totient is φ = 74787783168.

The previous prime is 290470428649. The next prime is 290470428763. The reversal of 290470428720 is 27824074092.

290470428720 is a `hidden beast` number, since 2 + 90 + 4 + 70 + 428 + 72 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6934830 + ... + 6976589.

It is an arithmetic number, because the mean of its divisors is an integer number (8409453390).

Almost surely, 2290470428720 is an apocalyptic number.

290470428720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290470428720 is an abundant number, since it is smaller than the sum of its proper divisors (718663978080).

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

290470428720 is a wasteful number, since it uses less digits than its factorization.

290470428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13911467 (or 13911458 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 290470428720 in words is "two hundred ninety billion, four hundred seventy million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 13911419 27822838 41734257 55645676 69557095 83468514 111291352 125202771 139114190 166937028 208671285 222582704 250405542 278228380 333874056 403431151 417342570 500811084 556456760 626013855 667748112 806862302 834685140 1001622168 1112913520 1210293453 1252027710 1613724604 1669370280 2003244336 2017155755 2420586906 2504055420 3227449208 3338740560 3630880359 4034311510 4841173812 5008110840 6051467265 6454898416 7261760718 8068623020 9682347624 10016221680 12102934530 14523521436 16137246040 18154401795 19364695248 24205869060 29047042872 32274492080 36308803590 48411738120 58094085744 72617607180 96823476240 145235214360 290470428720