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990398070 = 2335171271699
BaseRepresentation
bin111011000010000…
…100011001110110
32120000121102202000
4323002010121312
54012020214240
6242135400130
733354146634
oct7302043166
92500542660
10990398070
11469065802
12237823046
1312a25787c
149576c354
155be36430
hex3b084676

990398070 has 128 divisors (see below), whose sum is σ = 2820096000. Its totient is φ = 246468096.

The previous prime is 990398051. The next prime is 990398077. The reversal of 990398070 is 70893099.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990398077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582081 + ... + 583779.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 2990398070 is an apocalyptic number.

990398070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 990398070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

990398070 is an abundant number, since it is smaller than the sum of its proper divisors (1829697930).

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

990398070 is a wasteful number, since it uses less digits than its factorization.

990398070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 990398070 is about 31470.5905568993. The cubic root of 990398070 is about 996.7890575504.

The spelling of 990398070 in words is "nine hundred ninety million, three hundred ninety-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 127 135 153 170 254 255 270 306 381 459 510 635 762 765 918 1143 1270 1530 1699 1905 2159 2286 2295 3398 3429 3810 4318 4590 5097 5715 6477 6858 8495 10194 10795 11430 12954 15291 16990 17145 19431 21590 25485 28883 30582 32385 34290 38862 45873 50970 57766 58293 64770 76455 86649 91746 97155 116586 144415 152910 173298 194310 215773 229365 259947 288830 291465 431546 433245 458730 519894 582930 647319 779841 866490 1078865 1294638 1299735 1559682 1941957 2157730 2599470 3236595 3668141 3883914 3899205 5825871 6473190 7336282 7798410 9709785 11004423 11651742 18340705 19419570 22008846 29129355 33013269 36681410 55022115 58258710 66026538 99039807 110044230 165066345 198079614 330132690 495199035 990398070