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1381287978 = 234717137523
BaseRepresentation
bin101001001010100…
…1100100000101010
310120021010200220000
41102111030200222
510312102203403
6345021443430
746141516440
oct12225144052
93507120800
101381287978
11649779114
12326710576
13190229685
14d1640b90
15813ea7a3
hex5254c82a

1381287978 has 160 divisors (see below), whose sum is σ = 3779892864. Its totient is φ = 368022528.

The previous prime is 1381287937. The next prime is 1381287997. The reversal of 1381287978 is 8797821831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2640825 + ... + 2641347.

Almost surely, 21381287978 is an apocalyptic number.

1381287978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381287978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889946432).

1381287978 is an abundant number, since it is smaller than the sum of its proper divisors (2398604886).

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

1381287978 is a wasteful number, since it uses less digits than its factorization.

1381287978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 1381287978 is about 37165.6828001316. The cubic root of 1381287978 is about 1113.6825391918.

The spelling of 1381287978 in words is "one billion, three hundred eighty-one million, two hundred eighty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 137 153 162 189 238 274 306 357 378 411 459 523 567 714 822 918 959 1046 1071 1134 1233 1377 1569 1918 2142 2329 2466 2754 2877 3138 3213 3661 3699 4658 4707 5754 6426 6987 7322 7398 8631 8891 9414 9639 10983 11097 13974 14121 16303 17262 17782 19278 20961 21966 22194 25893 26673 28242 32606 32949 41922 42363 48909 51786 53346 62237 62883 65898 71651 77679 80019 84726 97818 98847 124474 125766 143302 146727 155358 160038 186711 188649 197694 214953 240057 293454 296541 373422 377298 429906 440181 480114 501557 560133 593082 644859 720171 880362 1003114 1120266 1218067 1289718 1320543 1440342 1504671 1680399 1934577 2436134 2641086 3009342 3360798 3654201 3869154 4514013 5041197 5803731 7308402 8526469 9028026 10082394 10962603 11607462 13542039 17052938 21925206 25579407 27084078 32887809 40626117 51158814 65775618 76738221 81252234 98663427 153476442 197326854 230214663 460429326 690643989 1381287978