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1021998432 = 25371328999
BaseRepresentation
bin111100111010100…
…111010101100000
32122020001220021210
4330322213111200
54043112422212
6245224550120
734216562160
oct7472472540
92566056253
101021998432
11484989604
12246322340
13133970100
1499a365a0
155eac953c
hex3cea7560

1021998432 has 144 divisors (see below), whose sum is σ = 3320352000. Its totient is φ = 269508096.

The previous prime is 1021998389. The next prime is 1021998443. The reversal of 1021998432 is 2348991201.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 109069 + ... + 118067.

It is an arithmetic number, because the mean of its divisors is an integer number (23058000).

Almost surely, 21021998432 is an apocalyptic number.

1021998432 is a gapful number since it is divisible by the number (12) 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 1021998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660176000).

1021998432 is an abundant number, since it is smaller than the sum of its proper divisors (2298353568).

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

1021998432 is a wasteful number, since it uses less digits than its factorization.

1021998432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1021998432 is about 31968.7102023213. The cubic root of 1021998432 is about 1007.2796882133.

The spelling of 1021998432 in words is "one billion, twenty-one million, nine hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 8999 9464 14196 16224 17998 18928 26997 28392 35996 37856 53994 56784 62993 71992 107988 113568 116987 125986 143984 188979 215976 233974 251972 287968 350961 377958 431952 467948 503944 701922 755916 818909 863904 935896 1007888 1403844 1511832 1520831 1637818 1871792 2015776 2456727 2807688 3023664 3041662 3275636 3743584 4562493 4913454 5615376 6047328 6083324 6551272 9124986 9826908 10645817 11230752 12166648 13102544 18249972 19653816 21291634 24333296 26205088 31937451 36499944 39307632 42583268 48666592 63874902 72999888 78615264 85166536 127749804 145999776 170333072 255499608 340666144 510999216 1021998432