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1220420432 = 247113741653
BaseRepresentation
bin100100010111110…
…0010001101010000
310011001102210002202
41020233202031100
54444411423212
6321033502332
742146255030
oct11057421520
93131383082
101220420432
11576993a30
122a08719a8
13165ac408a
14b81278c0
15722210c2
hex48be2350

1220420432 has 160 divisors (see below), whose sum is σ = 3106301184. Its totient is φ = 450662400.

The previous prime is 1220420419. The next prime is 1220420437. The reversal of 1220420432 is 2340240221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220420437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868618 + ... + 1869270.

Almost surely, 21220420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553150592).

1220420432 is an abundant number, since it is smaller than the sum of its proper divisors (1885880752).

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

1220420432 is a wasteful number, since it uses less digits than its factorization.

1220420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1220420432 is about 34934.5163412920. The cubic root of 1220420432 is about 1068.6524603390.

Adding to 1220420432 its reverse (2340240221), we get a palindrome (3560660653).

The spelling of 1220420432 in words is "one billion, two hundred twenty million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 41 44 56 74 77 82 88 112 148 154 164 176 259 287 296 308 328 407 451 518 574 592 616 653 656 814 902 1036 1148 1232 1306 1517 1628 1804 2072 2296 2612 2849 3034 3157 3256 3608 4144 4571 4592 5224 5698 6068 6314 6512 7183 7216 9142 10448 10619 11396 12136 12628 14366 16687 18284 21238 22792 24161 24272 25256 26773 28732 33374 36568 42476 45584 48322 50281 50512 53546 57464 66748 73136 84952 96644 100562 107092 114928 116809 133496 169127 169904 187411 193288 201124 214184 233618 265771 266992 294503 338254 374822 386576 402248 428368 467236 531542 589006 676508 749644 804496 934472 990601 1063084 1178012 1353016 1499288 1860397 1868944 1981202 2061521 2126168 2356024 2706032 2998576 3720794 3962404 4123042 4252336 4712048 6934207 7441588 7924808 8246084 10896611 13868414 14883176 15849616 16492168 21793222 27736828 29766352 32984336 43586444 55473656 76276277 87172888 110947312 152552554 174345776 305105108 610210216 1220420432